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two similar rectangles are shown below. the larger rectangle is 1.6 tim…

Question

two similar rectangles are shown below. the larger rectangle is 1.6 times the size of the smaller rectangle. what is the value of x?
7 ft
4 ft
x
6.4 ft
a. 14 feet
b. 16.8 feet
c. 4 feet
d. 11.2 feet

Explanation:

Step1: Use similarity ratio

Since the larger rectangle is 1.6 times the size of the smaller one, we multiply the corresponding side of the smaller rectangle by 1.6. So $x = 7\times1.6$.

Step2: Calculate value of x

$x=7\times1.6 = 11.2$

Answer:

d. 11.2 feet