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Natalija [7]
3 years ago
14

Shannon is making three different sizes of blankets from the same material. The first measures 2.5 feet by 2 feet. She wants to

enlarge it by scale factor of 2 to make the second blanket. Then she will enlarge the second one by a scale factor of 1.5 to make the third blanket. What are the dimensions of the third blanket? Are any of the blankets similar?
Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

<h2>The dimensions of the third blanket are 7.5 feet by 6 feet.</h2><h2>All the blankets are similar.</h2>

Step-by-step explanation:

The size of the first blanket is 2.5 feet by 2 feet.

Shannon  wants to enlarge the first blanket by scale factor 2 to make the second blanket.

Hence, the size of the second blanket will be (2.5\times2) = 5 feet by 2\times2 = 4 feet.

Again she enlarged the second blanket by a scale factor 1.5 to make the third blanket.

Hence, the size of the second blanket will be 5\times1.5 = 7.5 feet by 4\times1.5 = 6 feet.

Enlargement only changes the size of the blanket, it does not change the shape of the blanket. Hence, all the blankets will be similar.

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