Lesson 6 Student Outcomes
Students determine the area of composite figures in real-life contextual situations using composition and decomposition of polygons.
Students determine the area of a missing region using composition and decomposition of polygons.
Area problems in the real world are all around us. Can you give an example ofwhen you might need to know the area of something?
Lesson 6 Problem Set Sample Solutions
1. Below is a drawing of a wall that is to be covered with either wallpaper or paint. It is 8 ft. high and 6 ft. long. The window, mirror, and fireplace will not be painted or papered. The window measures 18 in. by 14 ft. The fireplace is5 ft. wide and 3 ft. high, while the mirror above the fireplace is 4 ft. by 2 ft.
a. How many square feet of wallpaper are needed to cover the wall?
b. The wallpaper is sold in rolls that are 18 in. 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?
c. This week the rolls of wallpaper are on sale for $11.99/roll. Find the cost of covering the wall with wallpaper.
d. A gallon of special textured paint covers 200 ft2 The wall needs to be painted twice (the wall needs two coats of paint). Find the cost of using paint to cover the wall. and is on sale for $22.99/gallon.
What real-life situations require us to use area?
Sometimes 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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