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The length of a rectangle is 6 centimeters more than its width. The area is 216 square centimeters. What are the dimensions?

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Answer:

18

Step-by-step explanation:

216 divided by 6 = 36

36 divided by 2 = 18

The length of the rectangle is 18 cm and the width is 12cm.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The two-dimensional space occupied by the rectangle is called the area of the rectangle.

Given that the length of a rectangle is 6 centimeters more than its width. The area is 216 square centimeters.

The area of the rectangle is calculated by the formula:-

Area = length x width

Area = L x W

L = w + 6

Area = ( w + 6 ) w

Area = w² + 6w

216 =  w² + 6w

w² + 6w -216 = 0

w² + 18w -12w -216 = 0

w ( w + 18 ) - 12( w + 18 ) = 0

( w + 18 ) ( w - 12 ) = 0

w = 12

Neglect the negative value.

The length will be calculated as:-

L = w + 6

L = 12 + 6 = 18

Therefore, the length of the rectangle is 18 cm and the width is 12cm.

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