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1 answer:
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Answer:
The maximum area is
Step-by-step explanation:
Let
x----> the length of rectangle
y---> the width of rectangle
we know that
The perimeter of rectangle is equal to
we have
so
------> equation A
Remember that
The area of rectangle is equal to
-----> equation B
substitute equation A in equation B
This is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area
using a graphing tool
The vertex is the point
see the attached figure
Find the value of y
----->
The dimensions of the rectangular garden is by
For a maximum area the garden is a square
The maximum area is
The area is 150 in^2
Answer:
∠NQP = 74°
Step-by-step explanation:
NPQ is a triangle.
We know the sum of 3 angles of a triangle is 180 degrees. So we can write:
N + P + Q = 180
2x + 34 + 2x + 2 = 180
Now, we can solve for x:
The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:
∠NQP = 2(36) + 2 = 74°