A rectangle is enlarged by a factor of 6. A rectangle with an area of 20 inches squared. What is the area of the enlarged rectangle? 120 in.² 720 in.² 2,400 in.² 14,400 in.²
Question
A rectangle is enlarged by a factor of 6.
A rectangle with an area of 20 inches squared.
What is the area of the enlarged rectangle? 120 in.² 720 in.² 2,400 in.² 14,400 in.²
Solution
The area of a rectangle is calculated by multiplying its length by its width. When a rectangle is enlarged by a factor of 6, both the length and the width are multiplied by 6. Therefore, the area is multiplied by 6^2 = 36.
So, if the original rectangle has an area of 20 square inches, the enlarged rectangle will have an area of 20 * 36 = 720 square inches.
So, the correct answer is 720 in.².
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