Question

Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?

Answer 1

W = 4.2 ft

Explanation:

By what number must we multiply 5 to get the actual length 10.5 feet?

5x = 10.5 ft, or x = 2.1 ft, where x is the length

The following is true: 5 : 2 = L : W, or

5 L

----- = -----

2 W

Since we have L (10.5 ft) and need W, we solve the above equation for W:

5W = 2L, so that W = (2/5)L

Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)

2 21

Then W = --------- * -------- ft = 21/5 ft = 4.2 ft W = 4.2 ft

5 2

Answer 2

you should multiply 2 by 2.1 with that you would get the width of the dog run.

The width would be 4.2

Explanation: