Question

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(5 points: 1-Formula/Set up, 1-Work shown, 1-Calculations, 1-Area, 1-Units)
In the figure below, ABC is dilated by factor of 7.5 resulting in DEF. if the area of ABC is 38 cm2, what is the area of DEF? ( figures are not drawn to scale.) Show your work.

Area of DEF=

Answer 1

The area of triangle DEF is 2137.5 cm²

Solution:

Given data:

Area of ABC = 38 cm²

Scale factor = 7.5

To find the area of DEF:

Area of dilated image = Area of original image × (scale factor)²

Area of DEF = 38 × (7.5)²

                    = 2137.5 cm²

Area of DEF = 2137.5 cm²

The area of triangle DEF is 2137.5 cm²