- #1

shwanky

- 43

- 0

**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.

## 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)