<h3>T
he area of the carpet not used is 10 sq yards.</h3>
Step-by-step 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
= ![3 \frac{1}{2} \times 4\frac{1}{4} = 3.5 \times 4.25 = 14.875](https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%204%5Cfrac%7B1%7D%7B4%7D%20%20%3D%203.5%20%5Ctimes%204.25%20%20%3D%2014.875)
= 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.