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Geometry Questions and Solutions

9) If the length of a rectangle is twice the width of it, what is the length if the area is 72?

Area of a rectangle = length x width

Area for a rectangle "a" = length "l" x width "w"

Since "l" is twice "w", then l = 2w

a =  l x w

72 = 2w x w


72 = 2w2

We have to make "w" subject of formula, so we move 2 to the other side.  When you move to the other side, addition becomes subtraction, multiplication becomes division, and vice versa.

72/2 = w2 (2 multiplied w at the other side)

36 = w2

6 = w

If the width is 6, then the length must be 12.

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