1. Worksheets>
  2. Math>
  3. Geometry>
  4. Scale Factor>
  5. Area and Perimeter

Ratio and Scale Factor of Perimeters and Areas Worksheets

Comprehend how the scale factor impacts side lengths, perimeters and areas of similar shapes with this gamut of scale factor worksheets. Also, learn to find the ratio of areas and perimeters of similar polygons. The worksheets are available in both customary and metric units. The pdf worksheets are recommended for 7th grade, 8th grade, and high school. Explore some of these worksheets for free!

Select the Measurement Units

Relation between Scale Factors and Ratios

Compare the similar figures and answer the series of questions that follow. Find the area, perimeter and scale factor, understand the influence of scale factor on ratio of areas and perimeters as well.

  • pdf 1
  • pdf 2
  • pdf 3

Area and Perimeter - Table Form

Packed in these printable ratio and scale factor of area and perimeter worksheets for grade 7 are tables with missing parameters. Complete them by determining the ratio and perimeter in Table A, ratio and area in Table B; based on the provided scale factor.

  • printable 1
  • printable 2
  • printable 3

Ratios - Area and Perimeter

Reiterate the concept of scale factor by applying it to solve word problems. Compute the area and perimeter of similar triangles and similar polygons.

  • practice 1
  • practice 2
  • practice 3

Perimeter of Similar Figures | Level 1

Reiterate the fact that the ratio of the perimeters of similar figures is the same as the scale factor, and figure out the missing perimeter in these level 1 worksheets.

  • worksheet 1
  • worksheet 2
  • worksheet 3

Perimeter of Similar Figures | Level 2

Level up with these printable level 2 worksheets! Equate the ratio of side lengths with the apt ratio of the perimeters, apply the cross product property, and solve for the unknown perimeter.

  • exercise 1
  • exercise 2
  • exercise 3

Area of Similar Figures | Level 1

Specifically dealing with determining the area of similar shapes using the given scale factor, these level 1 problems can be easily solved by applying the area of similar polygons theorem.

  • pdf 1
  • pdf 2
  • pdf 3

Area of Similar Figures | Level 2

Obtain the scale factor using the given side lengths; equate the ratio of the areas with the square of this scale factor, make the unknown area the subject, and solve.

  • printable 1
  • printable 2
  • printable 3

Perimeter and Area of Similar Figures | Level 1

Practice these grade 8 and high school pdfs that consist of simple word problems to find the area or perimeter of the original or dilated image and grasp the impact of scale factor on the ratios of area and perimeter.

  • practice 1
  • practice 2
  • practice 3

Perimeter and Area of Similar Figures | Level 2

These word problems feature similar special quadrilaterals and polygons with up to 10 sides. Recall that the square of the ratio of perimeters equals the ratio of the areas, and solve for the unknown value.

  • worksheet 1
  • worksheet 2
  • worksheet 3

Missing Sides of Similar Figures

Determine the missing sides of similar triangles or similar polygons using the information provided in these printable worksheets. Few problems are offered in the word format.

  • exercise 1
  • exercise 2
  • exercise 3