Question

The rectangular floor of the boardroom at DCR Industries has an area of 450 square feet. The width of the boardroom is 5 feet less than two thirds the length. Determine the length and width of the boardroom.

Answer 1

Answer:L = 30ft

W= 15ft

Step-by-step explanation:

l*w = 450

From the question

W = 2l/3 - 5

W = 450/l

450/l = (2l-15)/3

1350 = 2l^2 - 15l

2l^2 -15-1350 = 0

2l^2 +45l -60l- 1350 = 0

l(2l+45)- 30(2l+45)= 0

l-30 = 0 or 2l = 45

l= 30. or l = 22.5

w = 450/30 = 15. or w = 450/22.5= 20

Final answers are l = 30

w =15 since they are whole numbers