Question

what is the perimeter of the trapezoid if w = 8 cm and c = 14 cm?
a 32 cm
b 42 cm
c 46 cm
d 36 cm

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a trapezoid is the sum of all its side - lengths, $P=a + b + c + d$.

Step2: Identify side - lengths

Given $w = 8$ cm, $c = 14$ cm, and the other two side - lengths from the figure are $4$ cm and $10$ cm.

Step3: Calculate perimeter

$P=8 + 4+10 + 14$.
$P=(8 + 4)+10 + 14=12+10 + 14=(12 + 10)+14=22 + 14 = 36$ cm.

Answer:

D. 36 cm