Question

1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.

a. What is the perimeter of the sign?
b. What is the area of the sign?

Answer 1

let's notice the tickmarks on the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

the trapezoid has an altitude/height of 2 ft, thus

`\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6`