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