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Math / Geometry / Grade 10 / mgacy

Square the Length Scale for Area - Practice 1

When every length is multiplied by k, two perpendicular dimensions both change.

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When every length is multiplied by k, two perpendicular dimensions both change. Areas are multiplied by k^2, not by k.

Worked example

A rectangle with area 6 scaled by factor 3 has area 6 x 9 = 54.

A rectangle with area 6 scaled by factor 3 has area 6 x 9 = 54.
Worked model: A rectangle with area 6 scaled by factor 3 has area 6 x 9 = 54.
Question 1 A figure has area 6 square units. A dilation multiplies every length by 2. What is the new area?
Question 2 A figure has area 7 square units. A dilation multiplies every length by 3. What is the new area?
Question 3 A figure has area 8 square units. A dilation multiplies every length by 4. What is the new area?
Question 4 A figure has area 9 square units. A dilation multiplies every length by 2. What is the new area?
Question 5 A figure has area 10 square units. A dilation multiplies every length by 3. What is the new area?