Chapter 10: Perimeter, Area & Circumference

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Chapter 10: Perimeter, Area & Circumference Section 5: Proportion Changes on Area and Perimeter Megan Frantz Okemos High School Math Instructor

I Can Describe the effect on perimeter and area when one or more dimensions of a figure are changed Apply the relationship between perimeter and area in problem solving

Changing One Dimension Describe the effect of each change on the area of the given figure. The height of the triangle is multiplied by 6. original dimensions: multiply the height by 6:

Changing One Dimension The diagonal SU of the kite with vertices R(2, 2), S(4, 0), T(2, –2), and U(–5,0) is multiplied by . original dimensions:

Hint If the radius of a circle or the side length of a square is changed, the size of the entire figure changes proportionally. Helpful Hint

Changing Two Dimensions Describe the effect of each change on the perimeter or circumference and the area of the given figures. The base and height of a rectangle with base 4 ft and height 5 ft are both doubled.

Changing Two Dimensions The radius of J is multiplied by . original dimensions: dimensions multiplied by .

Effects of Changing Dimensions

What Happens? A circle has a circumference of 32 in. If the area is multiplied by 4, what happens to the radius?

What Happens? A square has a perimeter of 36 mm. If the area is multiplied by , what happens to the side length?

I Can Describe the effect on perimeter and area when one or more dimensions of a figure are changed Apply the relationship between perimeter and area in problem solving