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. 14 yd 4 yd 8 yd 5 yd 9 yd

Explanation:

Step1: Find the missing horizontal side length

The total horizontal length on the top is 14 yd. One part of the horizontal length is 8 yd. So the missing horizontal side length is $14 - 8=6$ yd.

Step2: Find the missing vertical side length

The total vertical length on the right - hand side is 9 yd. One part of the vertical length is 5 yd. So the missing vertical side length is $9 - 5 = 4$ yd.

Step3: Calculate the perimeter

The perimeter is the sum of all side lengths.
$P=4 + 8+5 + 6+9+14$
$P=(4 + 8)+(5 + 6)+(9 + 14)$
$P = 12+11+23$
$P=46$ yd

Answer:

46 yd