SOLUTION: i need help on this word problem - wallpaper is applied to the wall surrounding a norman window (a shape made by placing a semi circle om top of a rectangle) how many square feet o

Question 1117985: i need help on this word problem - wallpaper is applied to the wall surrounding a norman window (a shape made by placing a semi circle om top of a rectangle) how many square feet of wallpaper are required to cover the wall surrounding the window?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the length of the wall and let

represent the width of the wall. Then let

represent the height of the rectangular portion of the window and let

represent the width of the window.

The amount of wallpaper required is the area of the wall minus the area of the window.

The area of the entire wall is

The area of the window is the sum of the area of the rectangular part of the window and the area of the semicircular part of the window.

and

.

Putting it all together:

You need to find the measurements and do the arithmetic. If you are doing this for a math assignment, then the answer is whatever you get. If you are actually planning a home improvement project, add 10% for waste.

John

My calculator said it, I believe it, that settles it

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