The area of a rectangle is 360 in.² the ratio of the length to the width is 5:2. Find the length and the width

Answer 1

A =360 = LW = (5/2W)W= (5/2)W^2= 360

W^2 = (2/5)360 = 72x2 = 144]

W=12

L= 5/2W = 5(12)/2 = 30

Answer 2

L: Length of rectangle (inches)

W: Width of rectangle (inches)

LW = 360

L 5

----- = -----

W 2

Above, I have translated the word problem into two equations and have defined my terms, L and W. With any luck, we can solve this set of two equations in two unknowns. I would suggest solving the first equation for L, by dividing through by W, and then substituting that value (360/W) for L in the second equation, which is a proportion. Solve that equation for W. Then, you can substitute that value for W in either of the equations and solve for L.

I think you can do that! However, if you need help, just holler!