SOLUTION: Mr. Reyes wants to enclose the rectangular parking lot beside his house by putting a wire fence on the three sides. If the total length of the wire is 20
meters, find the dimensi
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Question 1197882: Mr. Reyes wants to enclose the rectangular parking lot beside his house by putting a wire fence on the three sides. If the total length of the wire is 20
meters, find the dimension of the parking lot that will enclose a maximum area
1. if we let w be the width and 1 be the length, what is the expression for the sum of the measures of the three sides of the parking lot?
2. What is the length of the rectangle in terms of the width?
3. Express the area (A) of the parking lot in terms of the width.
4. Fill up the table by having the corresponding areas (A) given w.
5. What have you observed about the area (A) in relation to the width (w)? What happens to area as the measure of the width increases?
6. What is the dependent variable? Independent variable? Explain your answer.
7. From the table of values, plot the points and connect them using a smooth curve?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
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1. if we let w be the width and 1 be the length, what is the expression for the sum of the measures of the three sides of the parking lot?
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Something is not well chosen.
If w is the size of the two opposite wire fence sides, then the other dimension is 20-2w.
Area of enclosed region is .
A for area
The zeros for A are at w=0 and at 20-2w=0 or 10-w=0 or w=10,
So the maximum for A would be exactly in the middle: or at
Maybe you can work with the rest.
.
.
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