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devlian [24]
3 years ago
9

The perimeter of an equilateral triangle is 63 inches. Suppose a square is constructed with each side being 2 inches shorter tha

n each side of the triangle, and then 3 inches are added to each side of the triangle. How many inches would the total combined perimeters of the triangle and square be?
Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

Combined perimeters of the triangle and square will be 148 inches

Step-by-step explanation:

An equilateral triangle has all its sides have equal length. The perimeter is 3l where l is length of one side.Given the perimeter of the equilateral triangle as 63 inches then,finding the length of each side will be:

3l=63

l=63/3=21 inches.

Square has its lengths 2 inches shorter than each side of triangle,this will be;

21-2=19 inches

Perimeter of the square will be 4l = 4*19=76 inches

In the new triangle 3 inches are added to each side,thus the new side will be;

21+3=24 inches.

New perimeter of triangle will be: 3l = 3*24=72 inches

The new combined perimeter will be 76+72=148 inches.

Learn More

Perimeter of an equilateral triangle : brainly.com/question/11068968

Keywords :Perimeter,equilateraltriangle, square

#LearnwithBrainly

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B19%7D%20%20%3D%206" id="TexFormula1" title=" \frac{x}{19} = 6" alt=" \fra
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[ Answer ]

\boxed{X \ = \ 114}

[ Explanation ]

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Check Your Work:

\frac{114}{19}

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= 6

\boxed{[ \ Eclipsed \ ]}

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