SOLUTION: An Architect is designing a rectangular meeting room so that the length is 8 feet greater than 4 times the width. The are of the room needs to be 3200.

Question 173809: An Architect is designing a rectangular meeting room so that the length is 8 feet greater than 4 times the width. The are of the room needs to be 3200.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

but,
Then,

, divide the whole eqn by 4:

Let , solve by Quadratic:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=3204 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 27.3019433961698, -29.3019433961698. Here's your graph:

check;

close enough
Thank you,
Jojo

RELATED QUESTIONS
An architect is designing a rectangular lobby for a hotel in which the length is 2 m... (answered by ikleyn)

I need to solve this word problem please help :) An architect is allowed 15 square... (answered by ReadingBoosters)

The ratio of the length of a rectangular meeting room to its width is 4:3. The perimeter... (answered by stanbon)

An architect is designing a rectangular family room with a perimeter of 48\m. What... (answered by ikleyn)

A rectangular room has an area of 252 square ft. The length of the room is 4 feet... (answered by richwmiller)

Length of a rectangular room is 8 feet longer than twice the width the room is 184 feet... (answered by jokaehler)

A rectangular room has an area of 84 square feet. Its width is 9 more than 3 times the... (answered by checkley77,advedantatutor)

A landscape architect is designing a rectangular garden in a local park. The garden will... (answered by ikleyn)