Question

A wire is first bent into the shape of a triangle. each side of the triangle is 14 inches long. then the wire unbent and reshaped into a rectangle. If the length of the rectangle is 13 inches, what is its width

Answer 1

The triangle shape

total length = 14 + 14 + 14 = 42 inches

The rectangle shape

perimeter = 42 inches

length = 13 inches

Therefore,

$\begin{gathered} \text{perimeter of a rectangle=2(l+w)} \\ \text{perimeter of a rectangle}=2(13+w) \\ 42=26+2w \\ 42-26=2w \\ 2w=16 \\ w=\frac{16}{2} \\ w=8\text{ inches} \end{gathered}$

width = 8 inches