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The length of a rectangle is 5 times the width. the perimeter of the rectangle is 72 inches. What is the area of the rectangle

Geometry
Mike_33

Mike_33 - 02.02.2016 15:33The length of a rectangle is 5 times the width. the perimeter of the rectangle is 72 inches. What is the area of the rectangle

Luke_80 - 02.02.2016 15:38Let's make the width of the rectangle x. If the length is five times the width, then we can express that as 5x. Perimeter is found by adding the number of units of each side of the rectangle. If the width is 'x' and the length is '5x' and the perimeter equals to 72, we can then say that x + x + 5x + 5x = 72 Now solve to find 'x' > 12x = 72 > x = 72/12 > x =6. This means that the width is equal to 6 inches. If the length is five times the width, you can multiply 6 by 5 to get 30. The length is 30 inches. To find the area of the rectangle, you multiply width by height. 6 times 30 = 180. The area of the rectangle is 180 squared inches!

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