SOLUTION: Can a rectangle with a perimeter of 36 meters have an area of 120 sq. meters?? And how to show your work?

Question 874855: Can a rectangle with a perimeter of 36 meters have an area of 120 sq. meters?? And how to show your work?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
A = Lw
(w-18)w = 120m^2
w^2 - 18w - 120 = 0

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=804 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 23.1774468787578, -5.17744687875783. Here's your graph:

RELATED QUESTIONS
what is the products of the diagonals of a rectangle with an area of 120 meters and a... (answered by robertb)

If the perimeter of a rectangle is 380 meters long and 120 meters wide, its area to... (answered by JulietG)

A rectangular playing field with a perimeter of 120 meters is to have an area of at least (answered by Alan3354)

A rectangular garden has an area of 84 sq meters and a perimeter of 38 meters. Find its... (answered by macston)

Hi i have an area i need to concrete, and need to work out how much concrete i need so as (answered by jim_thompson5910,amoresroy)

A rectangle has an area of 7056 meters squared. Find the minimum perimeter of the... (answered by Fombitz)

A rectangular land has an area of 120 sq mts. and perimeter of 46mts. The length (in... (answered by josgarithmetic)

A rectangular playing field with a perimeter of 120 meters is to have an area of at least (answered by josgarithmetic)

find the perimeter and area of a rectangle with width 3 meters and length 11... (answered by rapaljer)