Question

find the perimeter of this figure. enter your answer in the box. units

Explanation:

Step1: Calculate length of horizontal sides

For the top - horizontal side with endpoints (-7, 3) and (8, 3), the length $l_1=\vert8 - (-7)\vert=15$. For the bottom - horizontal side of the lower rectangle with endpoints (2, - 8) and (8, - 8), the length $l_2=\vert8 - 2\vert = 6$.

Step2: Calculate length of vertical sides

For the left - vertical side with endpoints (-7, 3) and (-7, -1), the length $v_1=\vert3-(-1)\vert = 4$. For the right - vertical side of the upper part with endpoints (8, 3) and (8, -1), the length $v_2=\vert3-(-1)\vert = 4$. For the left - vertical side of the lower rectangle with endpoints (2, -1) and (2, -8), the length $v_3=\vert-1-(-8)\vert = 7$. For the right - vertical side of the lower rectangle with endpoints (8, -1) and (8, -8), the length $v_4=\vert-1-(-8)\vert = 7$.

Step3: Sum up all side lengths

The perimeter $P=l_1 + v_1+v_2 + l_2+v_3 + v_4=15 + 4+4+6+7+7 = 43$.

Answer:

43