Question

The length of a rectangle is twice its width and the area is equal to the area
of a square with 12 cm. sides. What will the perimeter of the rectangle be
to the nearest whole number?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

The perimeter of the rectangle is 48 cm.

Step-by-step explanation:

Let the width of the rectangle = x

The length of the rectangle = 2x

so area =L X B = x X 2x =  $2x^{2}$

The each side of the square is 12 cm

so area = 12 X 12 sq cm = 144 sq cm

According to the problem,

$2x^{2}$ = 144

or, $x^{2}$ = 144/2 = 72

or, x = $\sqrt{72}$

= 8.4 = 8 (approx)

so length = 16 cm and width = 8 cm

Perimeter = 2 X ( L + B) = 2 X (16+8) = 48 cm