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Area in Square Feet and Square Yards

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Area in Square Feet and Square Yards
CCSS.MATH.CONTENT.3.MD.C.5, CCSS.MATH.CONTENT.3.MD.C.5.A, CCSS.MATH.CONTENT.3.MD.C.5.B

Basics on the topic Area in Square Feet and Square Yards

Content

In this Area in Square Feet and Area in Square Yards Video

Zuri watches a new sport on tv and tells Freddie how much she loves it. Freddie wants to surprise Zuri by building her an area to play the game in. All he knows is that the game is played by hitting a small ball over a net. Freddie will find area in square feet to build a ping pong table, but when that turns out not to be the game Zuri was talking about. Freddie goes back to the drawing board and creates a tennis court by measuring the area of the court in square yards.

How To Find Area in Square Feet and Square Yards

Area is the measurement of the inside of a shape. It is the amount taken up by 2D objects. Zeichenfläche_49_(1).svg

We measure the area of a rectangular shape by using the formula. The area in square feet formula is Area = length x width or A= l x w. To find the 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. Zeichenfläche_50_(1).svg

Example of How to Calculate Area In Square Feet

Medium-sized spaces are measured in square feet. Zeichenfläche_51.svg

Example of How to Calculate Area in Square Yards

Larger spaces can be measured with square yards.

Have You Practiced Yet?

With sofatutor, you can watch the tutorial video on how to find the area in square feet and square yards, complete practice problems, and print out worksheets for continued practice.

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

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Area in Square Feet and Square Yards .
  • Help define "area."

    Hints

    This is the definition of area.

    Solution

    Area is the measurement of the inside of shape.

  • How do we calculate the area of a rectangle?

    Hints

    There 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)

    Solution

    Here are two ways to calculate the area of a rectangle:

    • make an array
    • multiply the length and width.

  • Choose if the object should be measured using squared feet or squared yards.

    Hints

    Larger 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.
  • What are the areas of the arrays?

    Hints

    Count 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

    Solution

    Check your answers with the image above.

  • Find the area of the shape.

    Hints

    The 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.

    Solution

    The area of this rectangle is 35 sq. ft. because 7 ft. x 5 ft. = 35 sq. ft.

  • Find the area using the dimensions.

    Hints

    The dimensions tell the length and width.

    Area = length x width

    Solution

    A = 24 sq. ft.

    • dimensions 6ft long 4ft wide
    • dimensions 3ft long 8ft wide
    A = 12 sq. ft.
    • dimensions 1ft long 12ft wide
    • dimensions 3ft long 4ft wide
    A = 45 sq. ft.
    • dimensions 9ft long 5ft wide
    A = 20 sq. ft.
    • dimensions 4ft long 5ft wide
    • dimensions 2ft long 10ft wide