The perimeter of a room is 24cm. If it's length is 8cm, find it's area

1 answer

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, let's assume the width of the room is "w" cm. Therefore, the formula for the perimeter is:
Perimeter = 2(length + width)

Given that the perimeter is 24 cm and the length is 8 cm, we can substitute these values into the formula:

24 cm = 2(8 cm + w)

Now let's simplify and solve for "w":

24 cm = 16 cm + 2w
24 cm - 16 cm = 2w
8 cm = 2w
w = 4 cm

The width of the room is 4 cm.

To find the area of a rectangle, we multiply the length by the width. So in this case, the area of the room is:

Area = length × width
Area = 8 cm × 4 cm
Area = 32 cm²

Therefore, the area of the room is 32 cm².