SOLUTION: if the area of a rectangle is 192 square feet, and the ratio of width to length is 3:4, what is the width and length of the rectangle?

Question 830636: if the area of a rectangle is 192 square feet, and the ratio of width to length is 3:4, what is the width and length of the rectangle?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Area = length * width
The question gives you the following information:
L * W = 192
W = 3/4 L
Substitute the value for W:
L * 3/4L = 192
Multiply each side by 4/3 (to get rid of the fraction)
L * L = 192 * 4/3 (256)
L squared = 256
Take the square root of each side:
L = 16
If L = 16 and W is 3/4 of that, then W = 12
.
Let's prove it by putting the values back into the original question.
L * W = 192
16 * 12 does indeed equal 192, so the values are correct.
RELATED QUESTIONS
The length and width of a rectangle are in the ratio 4 to 3.The area is 192.Find the... (answered by stanbon)

if the area of a rectangle is 6720 square feet and the ratio of the width to the length... (answered by stanbon)

The area of a rectangle is 192 yd the ratio is 1 3 what's the length and... (answered by Cromlix)

The length of a rectangle is 3 feet more than 4 times the width. If the area is 45... (answered by Cromlix)

The length of a rectangle is 4 feet more than 3 times the width. If the area is 64 square (answered by ewatrrr)

Factor and solve. A photograph is going to be enlarged to print. The length is 4/3 of the (answered by LinnW)

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 sides of a rectangle are in the ratio 3:4. If the area of the rectangle is 300 square (answered by Alan3354)

An area of a rectangle is 108. The ratio of the Width to Length is 3:4. What is the... (answered by RAY100)