Question

A square has sides 5cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is ____cm.

• A.
  $15.10$
• B.
  $8.50$
• C.
  $18.50$
• D.
  $10.00$

Answer 1

The correct option is D

$10.00$
$\text{Let side of larger square}=x$

$\text{Side of smaller square}=(x-5)$

$\text{Area of larger square}=x^2$

$\text{Area of smaller square}=(x-5{)}^2$

$\text{Given, Area of larger square}=4\text{times of area of smaller square}$

$x^2=4(x-5{)}^2$

$\therefore x=10$

$\text{Side of larger square}=10cm$