The ratio of the width of a rectangle to its length is 3 to 4. If the area is 1323, then find the perimeter.

Guest May 15, 2020

#1**+1 **

W/L = 3/4

W = (3/4)L

So

W * L = area

(3/4)L * L = 1323

(3/4)L^2 = 1323 multiply both sides by 4/3

L^2 = 1764 take the positive root

L = 42

And W = (3/4)L = (3/4)(42) = 31.5

The perimeter 2 ( W + L) = 2 ( 31.5 + 42 ) = 147

CPhill May 15, 2020

#2**+1 **

Because the ratio of the width and the length is 4:3. The length is 4/3 times the width. If you calculate everything in terms of the width you get (4/3)w*1w = (4/3)w^2 = 1323 multiply both sides by 3/4 so it becomes, w^2 = 992.25. The square root of 992.25 is 31.5 so now we know the width of the rectangle. The length is 4/3 times as much as the with so 4/3*31.5 = 42 is the length. (31.5 + 42)*2 = 147

Mathlord May 15, 2020