Area in Square Feet and Square Yards
Basics on the topic Area in Square Feet and Square Yards
Measuring Area – Square Feet to Square Yards
Finding the area in square feet or square yards is very helpful for determining the size of an area. Finding area in square feet is often used to measure medium-sized spaces, like tables or rooms, using the formula area equals length times width. Whereas, finding area in square yards is very helpful when calculating areas of much larger spaces, such as fields or courts for sports. This text teaches you how to find the area of a rectangular shape and how to use the units of measurement for small and medium-sized areas correctly.
Calculating Area – Definition
What does it mean to calculate area? It means finding out the amount of space taken up by two-dimensional shapes and objects.
Area is the measurement of the inside of a shape. Square feet and square yards are common units of measurement used to measure the area that a shape is covering.
Regardless of the units of measurement, in order to calculate the area of a two-dimensional shape, one simply needs to know the length and the width of the shape. The area can be found by using the straightforward formula of multiplying the length by the width.
In mathematical terms, the area of a shape is given by the equation A = length × width, where the length and width are measured in consistent units such as inches or yards.
Let’s take a look at some examples of how area is calculated:
| Length | Width | Calculation | Area |
|---|---|---|---|
| 10 | 5 | 10 x 5 | 50 |
| 5 | 4 | 5 x 4 | 20 |
| 10 | 10 | 10 x 10 | 100 |
Whether you're measuring in square feet or square yards, it's vital to label your answer with the correct unit of measurement. This communicates the size of the shape clearly. The process of how to find the area in square feet and how to find the area in square yards involves applying simple mathematical principles for different sizes of spaces.
Finding Area in Square Feet
Imagine a rectangular table for a game, with a length of nine feet and a width of five feet. To find the area, we apply the area in square feet formula: length times width (A = l x w), which in this case would be
- 9×5=45
- 9×5=45 square feet.
Finding Area in Square Yards
When considering a larger space, such as a sports court with a length of twenty yards and a width of seven yards, we can calculate the area in square yards. The calculation follows the same principle as the previous example, resulting in
- 20×7=140
- 20×7=140 square yards.
Converting Square Yards to Square Feet
Sometimes, because different units of measurement are used, it can be hard to calculate the area of a shape. In order to be able to find the area in either square feet or square yards, it is important to make sure that both the length and the width are in the same units of measurement.
The conversion of measurements is done by using the square yard to square feet formula, where 1 square yard is equal to 9 square feet.
Let’s take a look at some examples of how square yards are converted to square feet:
| Square yard | Conversion | Square feet |
|---|---|---|
| 10 | 10 x 9 | 90 |
| 5 | 5 x 9 | 45 |
| 2 | 2 x 9 | 18 |
Measuring Area in Square Feet and Square Yards – Summary
The process of finding the area in square feet or square yards depends on the size of the object or space being measured. By understanding how to calculate area in square feet for medium-sized spaces and how to calculate area in square yards for larger spaces, we can accurately determine the inside of a shape using the appropriate units of measurement. Whether it's a table for a favorite game or a court for sports, these principles guide our understanding of space and measurement.
Frequently Asked Questions on the Topic Square Feet to Square Yards Conversion
Transcript Area in Square Feet and Square Yards
“I just saw the coolest game on tv.” “I wish we could play.” “What did it look like?” “There was an area with a net and they used this thing to hit a small ball back and forth.” “I think I will surprise Zuri with building her a ping pong table to play her favorite game.” We can help Freddie surprise Zuri by finding “Area in Square Feet and Yards.” AREA is the measurement of the INSIDE of a shape. We can find the area of a rectangular shape by making arrays... or by using the formula, area equals length times width. When measuring the area of an object, like the size of a ping pong table, we can measure it using the unit FEET. Freddie sees the length of a ping pong table is nine feet… and the width is five feet. To solve for the area, we will multiply the length times the width, or nine by five. What is nine times five? Forty-five. The area ping pong table will measure forty-five SQUARE FEET. It is important to label your answer with the proper unit of measurement since it tells others what types of units we are using. “SURPRISE!” “What is this?” “Your favorite game?” Freddie is back to the drawing board with Zuri’s surprise. He now realizes he needs to make a tennis court, NOT a ping pong table! When we measure areas of greater lengths, like a tennis court, we can measure in units called yards. He sees the length of a tennis court is twenty yards… And the width is seven yards. What do we need to do to find the area? Since we know area is length multiplied by width... we need to multiply twenty times seven. Remember, when multiplying by tens we can multiply the tens place digit by the single digit and put a zero in the ones place in the product. What is twenty times seven? One hundred forty. Freddie will make the tennis court with an area of one hundred forty SQUARE YARDS. Remember, including the units of measurement is part of the answer and must be included to communicate the size of the shape. As Freddie tries to surprise Zuri with her new favorite game one more time, let’s review. Remember… AREA is the measurement of the INSIDE of a shape. It is the amount of space taken up by a two-dimensional object. We measure the area of a rectangular shape by using the formula, area equals length times width. To solve for area, first, identify the length and replace it with the value. Next, identify the width and replace it with the value. Then, multiply the numbers. Make sure to add the correct unit of measurement after the product. Medium-sized spaces can be measured in square feet… and larger spaces can be measured with square yards. “SURPRISE?” “THANK YOU, FREDDIE!” “I LOVE IT!” “Ok, now what do we do?” “No clue.”
Area in Square Feet and Square Yards exercise
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Help define "area."
HintsThis is the definition of area.
SolutionArea is the measurement of the inside of shape.
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How do we calculate the area of a rectangle?
HintsThere are two ways that we can calculate the area of a rectangle.
Counting or multiplying can help you calculate the area of the rectangle.
One way to calculate area: Make an array and count the equal squares inside the shape. Another way to calculate area: Multiply the dimension of the shape (length x width)
SolutionHere are two ways to calculate the area of a rectangle:
- make an array
- multiply the length and width.
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Choose if the object should be measured using squared feet or squared yards.
HintsLarger spaces should be measured in sq. yds.
Medium size spaces should be measured in sq. ft.
Solution- The larger spaces in this question are the park and the football field. These spaces should be measured in squared yards.
- The medium size spaces are the table and the bed. These should be measured in squared feet.
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What are the areas of the arrays?
HintsCount the boxes in the arrays to help you find the area.
Find the length and width of the array and insert the values into the formula A = l x w
SolutionCheck your answers with the image above.
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Find the area of the shape.
HintsThe length and width are in feet. Should the area be in square feet or square yards?
Area = length x width
What does 7 x 5 equal?
Counting the squares in the array will give you the area of the shape.
SolutionThe area of this rectangle is 35 sq. ft. because 7 ft. x 5 ft. = 35 sq. ft.
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Find the area using the dimensions.
HintsThe dimensions tell the length and width.
Area = length x width
SolutionA = 24 sq. ft.
- dimensions 6ft long 4ft wide
- dimensions 3ft long 8ft wide
- dimensions 1ft long 12ft wide
- dimensions 3ft long 4ft wide
- dimensions 9ft long 5ft wide
- dimensions 4ft long 5ft wide
- dimensions 2ft long 10ft wide
