Question

5.
MATHEMATICS Year'
A square is folded into half to form a rectangle as shown below. The perimeter of the rectangle is 36 cm.
Calculate the area of the square.

Answer 1

Answer: 144 $cm^{2}$

Step-by-step explanation:

The rectangle's length is twice as long as it's width as the square is folded in half. Let's say that the width's length is x, we get the equation

x + 2x + x + 2x = 36

6x = 36

x = 6 cm

The length of the rectangle is the length of the square which is 2x = 2 * 6 = 12 cm

So the area of the square is 12 * 12 = 144 $cm^{2}$