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

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

umumumumum

im not sure