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

Question

2 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] · Answer 1 · 2022-06-10T22:46:15+03:00

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.