The trapezoid below has been enlarged by a scale of 1.5. A trapezoid with an area of 36 inches squared. What is the area of the enlarged trapezoid? 54 in.² 81 in.² 576 in.² 864 in.²
Question
The trapezoid below has been enlarged by a scale of 1.5.
A trapezoid with an area of 36 inches squared.
What is the area of the enlarged trapezoid? 54 in.² 81 in.² 576 in.² 864 in.²
Solution
The area of a shape increases by the square of the scale factor when the shape is enlarged. In this case, the scale factor is 1.5.
Step 1: Square the scale factor. 1.5 * 1.5 = 2.25
Step 2: Multiply the original area by the square of the scale factor. 36 in² * 2.25 = 81 in²
So, the area of the enlarged trapezoid is 81 in².
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