Question

1-84 find the perimeter and area of each figure below. be sure to show all your work. review math notes 1.1.2 in canvas for help if you get stuck. be sure to include the correct units in your answer. a)

figure: a trapezoid with vertical side 15 m, horizontal base 9 m, vertical side 11 m, slant side 9.85 m, right angle at bottom left

perimeter:

area:

Explanation:

Step1: Calculate Perimeter

Perimeter of a trapezoid is sum of all sides. Sides are 15 m, 9 m, 11 m, 9.85 m.
$Perimeter = 15 + 9 + 11 + 9.85$
$= 44.85$ m

Step2: Calculate Area

Area of trapezoid is $\frac{(a + b)}{2} \times h$, where $a = 15$ m, $b = 11$ m, $h = 9$ m.
$Area = \frac{(15 + 11)}{2} \times 9$
$= \frac{26}{2} \times 9$
$= 13 \times 9$
$= 117$ $m^2$

Answer:

Perimeter: $44.85$ meters
Area: $117$ square meters