The area of a rectangle is 5x² + 35x + 60
unit squares. If the breadth is
5(x+3) unit. Find the length.
.
squares it. Find the length.
Answers
Given : The area of a rectangle is 5x² + 35x + 60 unit squares.
Breadth is 5(x+3) unit.
To find : The length.
Solution :
Area of a rectangle , A = 5x² + 35x + 60 unit squares.
Breadth,B = 5(x + 3) unit.
Area of a rectangle , A = Length × Breadth
A = L × B
5x² + 35x + 60 = L × 5(x+3)
5(x² + 7x + 12) = L × 5(x+3)
L = 5(x² + 7x + 12)/5(x+3)
L = (x² + 7x + 12)/(x+3)
L = (x² + 4x + 3x + 12)/(x+3)
[By middle term splitting method]
L = x(x + 4) + 3(x + 4)/(x+3)
L = (x + 3) (x + 4)/(x+3)
L = x + 4
Hence, the length of a rectangle is (x + 4) unit.
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