The area of the carpet not used is 10 sq yards.
Explanation:
Here, the given data states:
The dimension of the bedroom is given as:
yards and
yards
So, the Area of the Bedroom = LENGTH x WIDTH
=

= 15 sq. yards (app.)
So, the area of the bedroom = 15 sq yards
Now, the dimensions of the carpet purchased = 5 yards by 5 yards
So, the area of the carpet purchased = 5 x 5 = 25 sq yards
So, the area of the carpet NOT USED
= Area of the carpet purchased - Area of the bedroom
= 25 sq yards - 15 sq yards
= 10 sq yards (app.)
Hence, the area of the carpet not used is 10 sq yards.