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Lesson Plans and Worksheets for Grade 7

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Common Core For Grade 7

### New York State Common Core Math Grade 7, Module 3, Lesson 20

Download worksheets for Grade 7, Module 3, Lesson 20

### Lesson 20 Student Outcomes

Example 1

Find the composite area of the shaded region. Use 3.14 for π.

Exercise 1

A yard is shown with the shaded section indicating grassy areas and the unshaded sections indicating buildings or paved areas. Find the area of the space covered with grass in units^{2}.

Example 2

Find the area of the figure which consists of a rectangle with a semicircle on top. Use 3.14 for π.

Exercise 2

Find the area of the shaded region using π = 3.14.

Example 3

Find the area of the shaded region.

Exercise 3

Find the area of the shaded region.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 7

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Common Core For Grade 7

Examples, videos, and solutions to help Grade 7 students learn how to find the area of regions in the plane with polygonal boundaries by decomposing the plane into triangles and quadrilaterals, including regions with polygonal holes.

• Students find the area of regions in the plane with polygonal boundaries by decomposing the plane into
triangles and quadrilaterals, including regions with polygonal holes.

• Students find composite area of regions in the plane by decomposing the plane into familiar figures (triangles,
quadrilaterals, circles, semi-circles, and quarter circles).

Example 1

Find the composite area of the shaded region. Use 3.14 for π.

Exercise 1

A yard is shown with the shaded section indicating grassy areas and the unshaded sections indicating buildings or paved areas. Find the area of the space covered with grass in units

Example 2

Find the area of the figure which consists of a rectangle with a semicircle on top. Use 3.14 for π.

Exercise 2

Find the area of the shaded region using π = 3.14.

Example 3

Find the area of the shaded region.

Exercise 3

Find the area of the shaded region.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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