Question

The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 240 ft. What is the length, in feet, of the rectangle?

Need help ASAP!

Answer 1

Answer: 51.4275 or 51.428571 (repeating decimals) feet

Explanation:

P = perimeter

L = length

W = width

Represent W as
`(3)/(4) L`

Find L

P = 2L + 2W

240 = 2L + 2(
`(3)/(4)L`)

240 = 2L +
`(3)/(2) L` or you can write 3/2 as 1.5

240 = 2L + 1.5L

240 = 3.5L

`(240)/(3.5) L = (3.5L)/(3.5)`

L = ≈ 68.57 or 68.571428 (but this is repeating decimals so I rounded it)

Find W

`(3)/(4) L`

`(3)/(4) * 68.57` = 51.4275

Or if you want unrounded version 51.428571 (repeating decimals)