SOLUTION: The area of a rectangle is 4320 square inches. The ratio of the width to the length is 5:6. Find the length and the width. How do I do this (step by step)? Please help, thanks!

Algebra.Com
Question 293098: The area of a rectangle is 4320 square inches. The ratio of the width to the length is 5:6. Find the length and the width. How do I do this (step by step)? Please help, thanks!
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
W:L=5:6
WL=4,320
TO FIND THE L & WE NEED TO FIND A MULTIPLIER FOR THE RATIO VALUES:
5N*6N=4,320
30N^2=4,320
N62=4,320/30
N^2=144
N=SQRT144
N=12 THIS IS THE MULTIPLIER FOR THE RATIOS.
5*12=60 FOR THE WIDTH.
6*12=72 FOR THE LENGTH.
PROOF:
60*72=4,320
4,320=4,320

RELATED QUESTIONS

The area of a rectangle is 360 inches^2. The ratio of the length to the width is 5:2.... (answered by lwsshak3)
The ratio of the width to the length of a rectangle is 5:6. The perimeter of the... (answered by stanbon)
A rectangle has a length to width ratio of four to three. the area of the rectangle is... (answered by rfer)
The length of a rectangle is 5 more than the width. The area is 500 square inches. Find... (answered by mananth)
The width of a rectangle is 6 inches less than the length, and the area is 40 square... (answered by JBarnum)
Hi Originally the ratio of the width of a rectangle to the length is 4 to 3. The... (answered by greenestamps,josgarithmetic)
the perimeter of a rectangle is 56 inches. the ratio of the length to the width is 6:1.... (answered by stanbon)
The area of a rectangle is 6720 square feet. The ratio of the width to the length is... (answered by ankor@dixie-net.com)
The length of a rectangle is 8 inches and its width is 5 inches. Find the ratio of length (answered by jim_thompson5910,55305)