Question

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

• A. $x^2-25$ sq units
• B. $x^2+25$ sq units
• C. $x^2-10x+25$ sq units
• D. $x^2+10x+25$ sq units

Answer 1

The correct option is D $x^2+10x+25$ sq units

Given : Length of each side of the
$\text{square is}x+5\text{units.}$

Area of a square = $side\times side$
$=(x+5)\times (x+5)=(x+5{)}^2$

Using the identity,
$(a+b{)}^2=a^2+2ab+b^2$,

we get
$(x+5{)}^2$
$=x^2+2\times x\times 5+5^2=x^2+10x+25$