Area of Composite Figures

Examples, solutions, and videos to help Grade 4 students learn how to create and determine the area of composite figures.

Topic D: Overview

NYS Common Core Grade 4, Module 7, Lesson 15, Lesson 16

Worksheets for Grade 4

Lesson 15 Homework

For homework, complete the top portion of each page. This will become an answer key for you to refer to when completing the bottom portion as a mini-board activity during the summer.

1 - 2. Find the area of the figure that is shaded.

3. A wall is 8 feet tall and 19 feet wide. An opening 7 feet tall and 8 feet wide was cut into the wall for a doorway. Find the area of the remaining portion of the wall.

Lesson 16 Homework

Use a ruler and protractor to create and shade a figure according to the directions. Then find the area of the unshaded part of the figure.

1. Draw a rectangle that is 18 cm long and 6 cm wide. Inside the rectangle, draw a smaller rectangle that is 8 cm long and 4 cm wide. Inside the smaller rectangle, draw a square that has a side length of 3 cm. Shade in the smaller rectangle, but leave the square unshaded. Find the area of the shaded space.
   
   
2. Emanuel’s science project display board is 42 inches long and 48 inches wide. He put a 6-inch border around the edge inside the board and placed a title in the center of the board that is 22 inches long and 6 inches wide. How many square inches of open space does Emanuel have left on his board?

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