Question

A wire is first bent into the shape of a rectangle with width 5in and length 13in. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?

Answer 1

Total length of the wire = 2*13 + 2*5 = 26 + 10 = 36 in.

so length of each side of the triangle would be 36/3  = 12 ins.

Answer 2

Length of each side of a triangle with equal measurements is equals to $12in$.

What is perimeter?

" Perimeter is defined as the total length around the boundary of any two dimensional geomertic shape."

Formula used

Perimeter of a rectangle $= 2 ( L + W)$

$L =$ length of the rectangle

$W =$ Width of the rectangle

Perimeter of a triangle with equal length $= 3s$

$s =$ side length of a triangle

According to the question,

Given,

Length of a rectangle $'L'= 13 in$

Width of a rectangle $'W' = 5 in$

Substitute the value in the formula we get,

Perimeter of a rectangle $= 2( 13 + 5)$

                                          $= 36 in$

Substitute the value in the perimeter of a triangle with equal side length,

$3s = 36 in\\\\\implies s = \frac{36}{3} \\\\\implies s = 12in$

Hence, Length of each side of a triangle with equal measurements is equals to $12in$.

Learn more about perimeter here

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