Question

Triangle RST is the pre-image of triangle UVW with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2.

a.) Set up an equation on how to solve for the missing area using the Area Ratios for Similar Figures.

b.) What is the area of triangle UVW?

Answer 1

A. (Area of triangle UVW)/(Area of triangle RST)=3^2=9
B. Substitute Area of triangle RST=9 into the equation above.

(Area of triangle UVW)/9=9
Area of triangle UVW =9x9=81 cm^2