Question

find the perimeter of the figure below. notice that one side length is not given. assume that all intersecting sides meet at right angles. be sure to include the correct unit in your answer. 16 yd 6 yd 11 yd 7 yd 13 yd

Explanation:

Step1: Find the missing horizontal side

The total horizontal length on the top is 16 yd. One part of the horizontal length is 11 yd. So the missing horizontal side length is $16 - 11=5$ yd.

Step2: Find the missing vertical side

The total vertical length on the right - hand side is 13 yd. One part of the vertical length is 7 yd. So the missing vertical side length is $13 - 7 = 6$ yd.

Step3: Calculate the perimeter

The perimeter is the sum of all side lengths. The side lengths are 6 yd, 16 yd, 6 yd, 5 yd, 7 yd, 11 yd, 13 yd.
Perimeter=$6 + 16+6 + 5+7 + 11+13$
$=(6 + 16)+(6 + 5)+(7 + 11)+13$
$=22+11+18+13$
$=(22 + 11)+(18 + 13)$
$=33+31$
$=64$ yd

Answer:

64 yd