Question

find the perimeter of the composite figure. the figure is not drawn to scale.

Explanation:

Step1: Identify side - lengths

The vertical sides are 19 cm and 10 cm, and the horizontal sides are 7 cm and 10 cm. By using the property of right - angled corners, we can find the missing vertical and horizontal side - lengths. The missing vertical side length is \(19 - 10=9\) cm and the missing horizontal side length is \(7 + 10 = 17\) cm.

Step2: Calculate the perimeter

The perimeter \(P\) of a figure is the sum of all its side - lengths.
\[P=19 + 7+10 + 10+9 + 17\]
\[P=(19 + 9)+(7 + 17)+(10 + 10)\]
\[P = 28+24 + 20\]
\[P=72\]

Answer:

72 cm