Question

You are buying a mirror for your room. the store you go to has square mirrors with areas of 2.25 square feet and 6.25 square feet, respectively. find the side length of each size of mirror answer key

Answer 1

The side lengths of the mirrors are 1.5 ft and 2.5 ft respectively.

Explanation

Given that, the area of smaller mirror is 2.25 ft² and the area of larger mirror is 6.25 ft²

Formula for the area of a square :  $A= a^2$ , where $a$ is the side of the square.

Lets assume, the side length of smaller mirror is $x$ ft and the side length of larger mirror is $y$ ft.

So....

$x^2= 2.25\\ \\ x= \sqrt{2.25}=1.5$

and

$y^2= 6.25\\ \\ y= \sqrt{6.25}=2.5$

Thus, the side length of smaller mirror is 1.5 ft and side length of larger mirror is 2.5 ft.