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Answers Problem Set Lesson 5

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MODULE 5 Area, Surface Area, and Volume
Problems
Topic A: Area of Triangles, Quadrilaterals, and
Polygons
Lesson 6: Area in the Real World
Student Outcomes
§ Students determine the area of composite figures in real‐life contextual situaons using composion and decomposion of polygons.
§ Students determine the area of a missing region using composion and decomposion of polygons.

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When do we use area in the real world?

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Problem Set
1. Below is a drawing of a wall that is to be covered with either wallpaper or
paint. It is 8ft high and 16ft long. The window, mirror and fireplace will not
be painted nor papered. The window measures 18in. by 14ft. The fireplace is
5ft.wide and 3ft. high, while the mirror above the fireplace is 4 ft. by 2 ft.

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8ft
16ft
18in
14ft
4ft
2ft
3ft
5ft
a. How many square feet of wallpaper are needed to cover the wall?
Total Wall Area Window Area Fireplace Area Mirror Area
Net wall area to be covered

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b. The wallpaper is sold in rolls that are 18in. wide and 33 ft. long. Rolls of solid
color wallpaper will be used, so patterns do not have to match up.
i. What is the area of one roll of wallpaper?
ii. How many rolls would be needed to cover the wall?

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c. This week the rolls of wallpaper are on sale for $11.99 / roll. Find the cost of
covering the wall with wallpaper.

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d. A gallon of special textured paint covers 200 ft2 and is on sale for $22.99/gallon.
The wall needs two coats of paint. Find the cost of using paint to cover the wall.
Net wall area to be covered:

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Closing
Please take out your exit ticket for Lesson 6, close your
binder, and complete the exit ticket. This will be collected.
§ What real‐life situaons require us to use area?
ú Floor covering, like carpets and les, require area measurements.
Wallpaper and paint also call for area measurements. Fabric used for
clothing and other items also demands that length and width be considered.
Wrapping a present, installing turf on a football field, or laying bricks, pavers,
or concrete for a deck or pao are other real‐world examples.
§ Somemes measurements are given in inches and area is calculated in
square feet. How many square inches are in a square foot?

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