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shwanky
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I suck at word problems :(.
I was wondering if someone could look over how I’m setting up this word problem. I’m not sure if I’m doing it correctly.
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30ft, express the area A of the window as a function of the width of the window.
P = 30
To find the area A of a rectangle multiply it’s width W by its length L.
1) A = WL
The perimeter of a rectangle is equal to sum of its widths and its lengths.
2) P = 2L+2W
30 = 2L + 2W
2L = 30 – 2W
L = (30 – 2W) /2
Let the width W of the rectangle equal x.
3) A(x) = x * L
Then,
A(x) = x((30 – 2x)/2)
I was wondering if someone could look over how I’m setting up this word problem. I’m not sure if I’m doing it correctly.
Homework Statement
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30ft, express the area A of the window as a function of the width of the window.
P = 30
Homework Equations
To find the area A of a rectangle multiply it’s width W by its length L.
1) A = WL
The perimeter of a rectangle is equal to sum of its widths and its lengths.
2) P = 2L+2W
The Attempt at a Solution
30 = 2L + 2W
2L = 30 – 2W
L = (30 – 2W) /2
Let the width W of the rectangle equal x.
3) A(x) = x * L
Then,
A(x) = x((30 – 2x)/2)