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.

Explanation:

Step1: Find the missing horizontal side length

The total horizontal length on the top is 15 cm. One part of the horizontal side is 8 cm. So the missing horizontal side length is $15 - 8=7$ cm.

Step2: Find the missing vertical side length

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

Step3: Calculate the perimeter

The perimeter is the sum of all side - lengths.
$P=4 + 8+5 + 7+9+15$
$P=(4 + 8)+(5 + 7)+(9 + 15)$
$P = 12+12+24$
$P = 48$ cm

Answer:

48 cm