Question

find the perimeter of the figure shown to the right. assume all angles are right angles. the perimeter of the figure is 80 centimeters. one or more of your responses is incorrect. at least one of your answers is incorrect. note that the perimeter of a polygon is the sum of the lengths of its sides. first find the missing lengths in the figure. observe that the sum of the horizontal lengths at the bottom should be the same as the horizontal length at the top. the sum of the vertical lengths at the left side should be the same as the vertical length at the right side. check the given unit of length carefully.

Explanation:

Step1: Find missing horizontal length

The top - horizontal length is 16 cm. One of the bottom - horizontal lengths is 8 cm. So the other bottom - horizontal length is \(16 - 8=8\) cm.

Step2: Find missing vertical length

The right - vertical length is \(4 + 12 = 16\) cm. One of the left - vertical lengths is 4 cm. So the other left - vertical length is \(16 - 4=12\) cm.

Step3: Calculate perimeter

Perimeter is the sum of all side lengths. The side lengths are \(16+4 + 8+12+8+16\) cm.
\[16+4 + 8+12+8+16=(16 + 4)+(8 + 12)+(8 + 16)=20+20+24 = 64\] cm.

Answer:

64 centimeters