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

Step-by-step explanation:

P = perimeter

L = length

W = width

Represent W as  $\frac{3}{4} L$

Find L

P = 2L + 2W

240 = 2L + 2($\frac{3}{4}L$)

240 = 2L + $\frac{3}{2} L$  or you can write 3/2 as 1.5

240 = 2L + 1.5L

240 = 3.5L

$\frac{240}{3.5} L = \frac{3.5L}{3.5}$

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

Find W

$\frac{3}{4} L$

$\frac{3}{4} * 68.57$ = 51.4275

Or if you want unrounded version 51.428571 (repeating decimals)