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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