SOLUTION: hello tutor i am having a problem with my algebra homework my tutoring got cancelled today :-( can you help me (pretend exponent is ^1) One more rectangular-shaped piece of meta

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Question 950440: hello tutor i am having a problem with my algebra homework my tutoring got cancelled today :-( can you help me
(pretend exponent is ^1)
One more rectangular-shaped piece of metal siding needs to be cut to cover
the exterior of a pole barn. The area of the piece is 30 ft^2. The length is 1 less
than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
One more rectangular-shaped piece of metal siding needs to be cut to cover
the exterior of a pole barn. The area of the piece is 30 ft^2. The length is 1 less
than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot.
L=length=3W-1; W=width; Area=L*W=30 sq ft
L*W=30 sq ft Substitute for L
(3W-1)(W)=30 sq ft

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=361 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.33333333333333, -3. Here's your graph:

Answer W=3.33 ft ANSWER: The width should be 3.33 feet.
CHECK
L=3W-1=10-1=9
A=L*W
30 sq ft=9(3.33)
30 sq ft=30 sq ft
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