SOLUTION: The area of a rectangle is 35, and its perimeter is 24. Find its dimensions and diagonal. Longer side:? Shorter side:? Diagonal:?

Algebra ->  Surface-area -> SOLUTION: The area of a rectangle is 35, and its perimeter is 24. Find its dimensions and diagonal. Longer side:? Shorter side:? Diagonal:?       Log On


   

Question 1185477: The area of a rectangle is 35, and its perimeter is 24. Find its dimensions and diagonal.
Longer side:?
Shorter side:?
Diagonal:?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28wL=35%2Cw%2BL=24%2F2=12%29

L=12-w

w%2812-w%29=35
-w%5E2%2B12w-35=0
w%5E2-12w%2B35=0
%28w-7%29%28w-5%29=0
Length 7, Width of 5

Diagonal, sqrt%287%5E2%2B5%5E2%29=sqrt%2849%2B25%29=highlight_green%28sqrt%2874%29%29