The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurements is closest to the length of this

Question

The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurements is closest to the length of this rectangle in feet

A) 9ft

B) 17ft

C) 12.4ft

D) 13.6ft

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Quinn 1 month 2021-09-22T00:13:28+00:00 1 Answer 0

Answers ( )

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    2021-09-22T00:14:51+00:00

    Option C – 12.4 feet is the correct answer.

    Step-by-step explanation:

    Step 1 :  

    Given,

    The rectangle’s width = 4 feet

    The rectangle’s diagonal = 13 feet

    Let x be the rectangle’s length

    We need to find which measurements is closest to the length of this rectangle in feet from the given options

    Step 2:

    From Pythagoras theorem, we know that if we square the sides of  right angle triangle and sum it, this will be equal to the square of the longest side.

    Using this we have

    4² + x² = 13²

    => x² = 13² – 4² = 169 -16 = 153

    => x = √153 = 12.36 feet

    Step 3:

    Answer :

    Hence the rectangle’s length is 12.37 feet

    This is closest to option C 12.4 feet.

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