Jasmine drew a rectangle with the following properties The a

Jasmine drew a rectangle with the following properties.

The area is 32 square centimeters.

The length is twice the width.

The perimeter of Jasmine\'s rectangle is ______ centimeters.

Solution

Let the width of the rectangle drawn by Jasmine be x cm. Then, the length of the rectangle is 2x cm. The areaof the rectangle is x*2x = 32 sq.cm, or, 2x² = 32 sq.cm so that x² = 16sq.cm and hence x = 4cm. Then the length of the rectangle is 2x = 2*4 = 8cm. Ten, the perimeter of the rectangle = 2( length + width) = 2(2x + x) = 6x = 6*4 = 24cm.