A geometry problem by mohammed Tayyab

Geometry Level 1

A piece of 16-gauge copper wire 42 cm long is bent into the shape of a rectangle whose width is twice its length. What are the dimensions of the rectangle.

the rectangle is 7 centimeters long and 21 centimeters wide. the rectangle is 7 centimeters long and 14 centimeters wide. the rectangle is 10 centimeters long and 20 centimeters wide.

Mohammed Tayyab by mohammed Tayyab , 20, India

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1 solution

Noel Lo
Jun 8, 2015

Let the rectangle be 2 x 2x cm by x x cm. Perimeter is 2 ( 2 x + x ) = 2 ( 3 x ) = 6 x 2(2x+x) = 2(3x) = 6x cm. 6 x = 42 6x = 42 so x = 7 x=7 . The rectangle is hence 14 14 cm by 7 7 cm.

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