Question

A rectangular rug is 12.5 feet long and 10 feet wide. the rug needs to e reduced by a factor of 1/5 . what is the area of the reduced rug in square feet?

Answer 1

100 square feet is the reduced amount

Answer 2

Answer:
Area of reduced rug = 5 ft²

Explanation:
1- We need to get the dimensions of the reduced rug:
The dimensions of the original rug are given as:
length = 12.5 ft
width = 10 ft
The scale factor is $\frac{1}{5}$ = 0.2
Therefore:
new length = scale factor * old length
new length = 0.2 * 12.5 = 2.5 ft
new width = scale factor * old width
new width = 0.2 * 10 = 2 ft

2- We get the area of the reduced rug:
area of rectangle = length * width
We have:
new length = 2.5 ft
new width = 2 ft
Therefore:
area = 2.5 * 2 
area = 5 ft²

Hope this helps :)