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7 August, 15:28

Orlando is making a design for a logo. He begins with a square measuring 22 inches on a side.

The second square has a side length of 17.6 inches, and the third square has a side length of

14.08 inches. Which square will be the first square with a side length of less than 10 inches?

A) fifth square

B) fourth square

C) sixth square

D) seventh square

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Answers (2)
  1. 7 August, 15:41
    0
    Answer: A

    Step-by-step explanation:

    The first square is 22 inches on a side.

    The second is 17.6 inches on a side

    the third is 14.08 inches on a side.

    We can suppose that we have a constant rate of decrease betwen the sides cubes, this means that:

    22in*x = 17.6in

    where x is the rate of scale.

    x = 17.6/22 = 0.8

    Now we test this with the second and third:

    17.6in*0.8 = 14.08in

    Ok, this works.

    then the side of n-th cube can be found with the equation

    L = 22*0.8^ (n-1)

    we can try the different options and see which one gives a value smaller than 10.

    A) n = 5

    L = 22*0.8^4 = 9.01

    Then the correct option is A
  2. 7 August, 16:06
    0
    the answer is A i had a quiz
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