A yard has a perimeter of 464 feet. If twelve times the length of the yard equals seventeen times the​ width, what are its​ dimensions?

Answer 1

Hi, Aiden.

Okay, so let's let:

L = length

W = width

12L = 17W

L = (17/12)W

So, we know that the perimeter = 2L + 2W = 464

Now, substitute for L from the first equation:

2(17/12)W + 2W = 464

(17/6)W + 2W = 464

Now multiply by 6 to get rid of denominator:

6(17/6)W + 12W = 464(6)

17W + 12W = 2784

29W = 2784

W = 96 feet

L = (17/12)W = (17/12)96 = 136 feet