Question

find the perimeter of the following figure. take into account that the length of one of the sides is not indicated. assume that all the sides that intersect meet at right - angles. include the correct units in the response.

Explanation:

Step1: Analyze vertical side - lengths

The sum of vertical side - lengths on the left and right should be equal. The known vertical side - lengths on the left are 4 yd and 9 yd, and on the right is 13 yd.

Step2: Analyze horizontal side - lengths

The sum of horizontal side - lengths on the top and bottom should be equal. The known horizontal side - lengths on the top are 16 yd, and on the bottom is 10 yd. The missing horizontal side - length is \(16 - 10=6\) yd.

Step3: Calculate the perimeter

The perimeter \(P\) is the sum of all side - lengths. \(P=(4 + 9+13)+(16 + 10+6)=68\) yd.

Answer:

68 yd