the area of a rectangle is (x^2+11x+28) sq units. If one sideis (x+4) units , find the other side
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other side is (x+7) units
Step-by-step explanation:
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Given:
Area of a rectangle is (x²+11x+28) sq. units.
One side is (x+4) units.
To Find:
Other side of the rectangle.
Solution:
The area of the rectangle :
= Length × breadth
= (x²+11x+28)
as it is a quadratic equation,
by using factorization split it into two parts
= (x²+11x+28)
= x²+7x+4x+28
= x(x+7) + 4(x+7)
= (x+7). (x+4)
compare it with length × breadth
= (x+7). (x+4)
Hence, the other side will be ( x+7).
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