Question

a rectangle consists of two identical squares with a common side. The perimeter of the rectangle is 27 inches. Find its area

Answer 1

40.5

Explanation:

Answer 2

40.5 square inches

Explanation:

Rectangle consists of two identical squares.

So, if the sides of square = x,

Then, Width of rectangle = x &

Length of rectangle = x +x = 2x

Perimeter of rectangle = 27 inches

2*(length + width) = 27

2*( 2x + x) = 27 {Combine like terms]

2* 3x = 27

6x= 27 {Divide both sides by 6}

x = 27/6

x = 4.5

Width = x = 4.5 inches

Length = 2x = 2*4.5 = 9 inches

Area of rectangle = length *width

= 4.5 *9

= 40.5 square inches