IDNLearn.com makes it easy to find precise answers to your specific questions. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.
Answer:
Length is 13 and width is 3
Step-by-step explanation:
First find an equation that represents this situation.
39 = w * (5w-2)
This works because 39 (the total area) is w (the width) times 5w - 2 (the length). So solve for w.
39 = w * (5w-2)
First, distribute the w over the terms in parentheses
39 = 5w^2 - 2w
Then, subtract (5w^2 - 2w) from both sides.
39 - 5w^2 - 2w = 0
Factor the left side of the equation:
(−5w−13)(w−3)=0
Then set each factor equal to zero.
−5w−13 = 0
Add 13 to both sides, then divide both sides by -5 to isolate w. This leaves you with w = -13/5
Then the other factor:
w−3 = 0
Add 3 to both sides. You're left with w = 3.
So w is either -13/5, or 3. And since the width can't be negative, it is 3.
Now to find the height, plug 3 into the equation we had from earlier:
39 = w * (5w-2)
Substitute w into the equation:
39 = (3) * (5(3)-2)
39 = 3 * (15 - 2)
39 = 3 * (13)
Because 3 * 13 is equal, 13 is the length.