Question

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.

A) 5 meters
B) 8 meters
C) 10 meters
D) 12 meters

Answer 1

X=5



Explanation:


If the triangle on the rights perimeter is 24 and two of the lengths are 8 then we know 8+8=16 24-16=8 8/2=4
So the triangle on the right has the numbers 8 and 4 as it’s length and width

So then you would find out how much it was dilated to get from 30 to 24
30/24 and you get 1.25 so you multiply 4 by 1.25 and get 5, and then to double check you can multiply 8 by 1.25 and get 10 then add it all together
5+5+10+10=30 so you know that’s correct.