Question

A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.

Answer 1

let w=width
l=length
then l=w+50
Now the diagonal can be found by the pythagorean theorem

diagonal=d=250
d^2=l^2+w^2
250^2=(w+50)^2+w^2
Rearranging
0=2w^2+100w-60000
Use quadratic formula and use the positive root as the width must be greater than zero
w=150
then l=200

Answer 2

thank you