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Question

If each side of a square is of length
(x+5) units, then find its area?

A
x225 sq units
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B
x2+25 sq units
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C
x210x+25 sq units
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D
x2+10x+25 sq units
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Solution

The correct option is D x2+10x+25 sq units
Given : Length of each side of the
square is x+5 units.

Area of a square = side×side
=(x+5)×(x+5)=(x+5)2

Using the identity,
(a+b)2=a2+2ab+b2,

we get
(x+5)2
=x2+2×x×5+52=x2+10x+25

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