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.

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

answer: 43/157

this is the answer and if you try to prove me wrong your a meanie

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204