The length of a rectangle with an area of 63 centimeters is 7 centimeters. What is the perimeter of the rectangle?

Answer 1

Hi.

We have to start by figuring out the width of the rectangle and then, after we do that, we can calculate the perimeter.

The area of a rectangle is determined by multiplying its length by its width:

A = LW

Here, we know the area (63 cm²) and the length (7 cm). So we'll plug that in:

63 = 7W

W = 63/7 = 9 cm

OK, so now we can figure out the perimeter. The perimeter of the rectangle is determined by adding up the lengths of both "long" sides (length) and both "short" sides (width). So:

P = 2L + 2W

P = 2 (7 cm) + 2 (9 cm)

P = 14 cm + 18 cm

P = 32 cm

The rectangle has a perimeter of 32 centimeters.