Area and Perimeter of Similar Figures - 8TH GRADE MATH DEPARTMENT

[Pages:4]NAME _____________________________________________ DATE _____________________________ PERIOD ____________

Lesson 4 Skills Practice

Area and Perimeter of Similar Figures

For each pair of similar figures, determine the perimeter of the second figure.

1.

2.

3.

4.

5.

6.

7. A triangle has a side length of 3 inches and an area of 22 square inches. A similar triangle has a corresponding side length of 6 inches. Determine the area of the larger triangle.

8. A rectangle has a side length of 2 feet and an area of 10 square feet. A similar rectangle has a corresponding side length of 6 feet. Determine the area of the larger rectangle.

9. A rectangular shaped lake lot has an area of 4,800 square feet. The width of the lot is 60 feet. A similar lot across the road has a width of 80 feet. What is the area of the lot across the road? Round your answer to the nearest whole number.

Course 3 ? Chapter 2 Similarity and Dilations

NAME _____________________________________________ DATE _____________________________ PERIOD ____________

Lesson 4 Extra Practice

Area and Perimeter of Similar Figures

For each pair of similar figures, determine the perimeter and area of the second figure. Round to the nearest tenth if necessary.

1.

2.

3.

4.

5.

6.

Course 3 ? Chapter 2 Similarity and Dilations

NAME _____________________________________________ DATE _____________________________ PERIOD ____________

Lesson 4 Homework Practice

Area and Perimeter of Similar Figures

For each pair of similar figures, determine the perimeter of the second figure.

1.

2.

3.

4.

5.

6. A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. Determine the area of the larger triangle.

7. A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.

8. A rectangular shaped flower garden has a length of 5 yards and an area of 15 square yards. A neighbor's flower garden is similar and has a length of 7 yards. What is the area of the neighbor's flower garden? Round your answer to the nearest whole number.

Course 3 ? Chapter 2 Similarity and Dilations

NAME _____________________________________________ DATE _____________________________ PERIOD ____________

Lesson 4 Problem-Solving Practice

Area and Perimeter of Similar Figures

1. Mike has 2 mats that are in the shape of triangles. The scale factor of the 2 triangular mats is !. What

"

is the ratio of the perimeters?

2. Using the same mats as in Exercise 1, what is the ratio of the areas of Mike's mats?

3. Joan has 2 similar rectangular-shaped pieces that she is using for her quilt. One has width 4 inches and length 6 inches and the other has a width of 6 inches. What is the perimeter of the larger rectangular piece?

4. Using the same quilting pieces from Exercise 3, what is the area of the larger rectangular piece?

5. Draw similar rectangles that are in the ratio of $.

%

What is the ratio of the areas of the rectangles you

drew?

6. Draw similar triangles whose sides are in the ratio

of %. What is the ratio of the perimeters of the

&

triangles you drew?

Course 3 ? Chapter 2 Similarity and Dilations

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