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

Respuesta :

Answer:

40.5 square inches

Step-by-step 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

Ver imagen devishri1977

Answer:

40.5

Step-by-step explanation: