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Question

Give possible expressions for the length(l) and breadth(b) of the rectangle whose area is given by 4a2+4a3.

A
l=2a+3, b=2a1
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B
b=2a+2, l=2a2
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C
b=2a+3, l=2a1
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D
l=2a+2, b=2a2
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Solution

The correct options are
A l=2a+3, b=2a1
C b=2a+3, l=2a1
Area of the rectangle is length×breath.
Given area =4a2+4a3
The above expression can be written as
=4a2+4a3
=4a2+6a2a3
=2a(2a+3)1(2a+3)
=(2a+3)(2a1)
Thus, one possible solution can be length =(2a+3) and breath =(2a1)
Another possible solution can be breadth =(2a+3) and length =(2a1)

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