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Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.

Sagot :

Answer: 16 yards would be your answer

The  scale factor of ABCD to QRST is 1:2

The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.

Rectangle ABCD has a width of 8 yards and a length of 20 yards.

Rectangle QRST is similar to rectangle ABCD.

Rectangle QRST has a length of 40 yards.

Scale factor:

Therefore, the scale factor of ABCD to QRST can be calculated as follows:

let

x = width of rectangle QRST

8 / x = 20 / 40

8 / x = 1 / 2

x = 16

The scale factor of  ABCD to QRST is 1:2

Perimeters

perimeter ABCD = 2(8 + 20) = 56 yards

perimeter QRST = 2(16 + 40) = 112 yards.

learn more on similar rectangles here: https://brainly.com/question/8956702?referrer=searchResults

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