SOLUTION: The perimeter of a rectangle is 60 inches. The ratio of the length to width is 3:2. What is the length and width?

Algebra.Com
Question 564275: The perimeter of a rectangle is 60 inches. The ratio of the length to width is 3:2. What is the length and width?
Answer by ad_alta(240)   (Show Source): You can put this solution on YOUR website!
Let 'w' be the width and 'l' be the length. Then the perimeter is the sum of the sides of the rectangle. Thus, 2w+2l=60. Since l/w=3/2, 2l=3w. We can substitute into the first equation and get 2w+2(3/2)w=60. Then 5w=60 and w=12. Since l=(3/2)w, l=18.
RELATED QUESTIONS

The perimeter of a rectangle is 40 feet. The ratio of the width to the length is 2:3.... (answered by ewatrrr)
The perimeter of a rectangle is 56 inches. The ratio of the length to the width is 6:1.... (answered by mananth)
The Perimeter of a rectangle is 27 inches. The ratio of the length to the width is 2:1.... (answered by solver91311)
the perimeter of a rectangle is 65 inches. The ratio of the length to the width is 4:1.... (answered by lwsshak3)
The length and width of a rectangle are in ratio of 7:3. He perimeter of the rectangle is (answered by rfer)
The length and width of a rectangle are in ratio of 7:3. He perimeter of the rectangle is (answered by josgarithmetic)
The perimeter of a rectangle is 24 inches. The ratio of the length to the width is 2:1.... (answered by mananth)
A rectangle has a perimeter of 60 inches and length of 22 inches. What is the width of... (answered by rapaljer)
The perimeter of a rectangle is 30 inches. The ratio of its width to length is 2 to 3.... (answered by jorel1380)