Question

How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimeter is 185 centimeters? l=25cm h=12cm

Answer 1

Width= 30

Length= 62.5

Explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5