Area in Square Centimeters

Area in Square Centimeters exercise

• What is the area of each room?

  Hints

  To find the area of a rectangle, we need to multiply the length by the width.

  For example, if we were finding the area of this rectangle we would multiply 6 x 3 to get 18cm².

  Solution

  To find the area, we multiply the length by the width.

  • 5 x 4 = 20; area = 20 cm$^{2}$
  • 6 x 4 = 24; area = 24 cm$^{2}$
  • 5 x 3 = 15; area = 15 cm$^{2}$
  • 7 x 3 = 21; area = 21 cm$^{2}$

  Remember to always write the units, such as cm$^{2}$, after an area measurement.

• Can you find the missing measurements?

  Hints

  Remember: Area = length x width or A = l x w.

  For the room on the left, you are trying to find the area so you need to multiply the length by the width.

  For the room on the right, the length is missing. That means that you need to divide the area by the width.

  Solution

  The room on the left was missing the area. To find this out we need to:

  • multiply the length by the width.
  • 6 x 4 = 24.
  • Therefore, the area is 24 cm$^{2}$.

  The room on the right was missing the length. To find this out we need to:

  • divide the area by the width.
  • 20 $\div$ 4 = 5.
  • Therefore, the length is 5cm.

• What is the area of each room?

  Hints

  First, find the length and the width of each room.

  Multiply the length and the width together to find the area.

  For example, if we were finding the area of this room we would multiply the length of 4 cm by the width of 3 cm.

  • 4 x 3 = 12
  • Area = 12 cm$^{2}$

  Solution

  To find the area we multiply the length by the width.

  12 cm$^{2}$

  • The room with a length of 4 cm and a width of 3 cm. 4 cm x 3 cm = 12 cm$^{2}$.
  • The room with a length of 6 cm and a width of 2 cm. 6 cm x 2 cm = 12 cm$^{2}$.

  15 cm$^{2}$

  • The room with a length of 5 cm and a width of 3 cm. 5 cm x 3 cm = 15 cm$^{2}$.

  20 cm$^{2}$

  • The room with a length of 5 cm and a width of 4 cm. 5 cm x 4 cm = 20 cm$^{2}$.
  • The room with a length of 10 cm and a width of 2 cm. 10 cm x 2 cm = 20 cm$^{2}$.

• Missing measurements.

  Hints

  To find the area, multiply the length by the width.

  To find the length or the width, divide the area by the measurement you know.

  Remember, area measurements always have $^{2}$ at the end.

  Solution

  Wooden board

  • We were given the length and the width, so we were finding the area.
  • Multiply the length by the width.
  • 10 x 10 = 100, therefore the area is 100cm$^{2}$.

  Card

  • We were given the area and the width, so we were finding the length.
  • Divide the area by the width.
  • 8 $\div$ 2 = 4, therefore the length is 4 cm.

  Photograph frame

  • We were given the area and the length, so we were finding the width.
  • Divide the area by the length.
  • 70 $\div$ 10 = 7, therefore the width is 7 cm.

  Tile

  • We were given the length and the width, so we were finding the area.
  • Multiply the length by the width.
  • 9 x 8 = 72, therefore the area is 72cm$^{2}$.

  Drawer

  • We were given the area and the length, so we were finding the width.
  • Divide the area by the length.
  • 40 $\div$ 8 = 5, therefore the width is 5 cm.

  Note paper

  • We were given the area and the length, so we were finding the width.
  • Divide the area by the length.
  • 150 $\div$ 15 = 10, therefore the width is 10 cm.

• What is the area of the garden?

  Hints

  Remember, area = length x width.

  This is the length.

  This is the width.

  So we need to multiply 4 x 3 to find the area.

  Solution

  To find the area we multiply the length by the width, so we multiply 4 x 3 to get 12.

  The area therefore is 12 cm$^{2}$.

• Floor plan puzzle.

  Hints

  To find the length, you need to divide the area by the width.

  Remember, the length of the smaller room is half the length of the larger room. You will need this measurement to find the area of the smaller room.

  To find the area, multiply the length by the width.

  Solution

  First, we needed to find the length of the larger room.

  To do this, we needed to divide the area by the width.

  60 $\div$ 5 = 12.

  We then needed the length measurement of the smaller room. We were told this was half the length of the larger room.

  The length of the larger room is 12 cm, so we need to halve 12.

  12 $\div$ 2 = 6.

  Now we have the length and the width of the smaller room, we can multiply them to find the area.

  6 x 5 = 30.

  The area of the smaller room is 30 cm$^{2}$.