Question

1. find the perimeter of the figure. not drawn to scale image of a trapezoid with top side 8 in, left side 7 in, bottom side 12 in, right side 8 in

options:
○ 34 in.
○ 70 in.
○ 84 in.
○ 35 in.

Explanation:

Step1: Recall perimeter formula

Perimeter is the sum of all side lengths.

Step2: Identify all sides

The figure has sides: 8 in, 8 in, 12 in, and 7 in.

Step3: Sum the side lengths

Calculate \( 8 + 8 + 12 + 7 \).
First, \( 8 + 8 = 16 \).
Then, \( 16 + 12 = 28 \).
Finally, \( 28 + 7 = 35 \)? Wait, no, wait. Wait, the figure is a trapezoid with two parallel sides (8 in and 12 in), a height of 7 in (the vertical side), and the slant side of 8 in. Wait, no, the vertical side is 7 in, the top base 8 in, bottom base 12 in, slant side 8 in, and the left vertical side 7 in. Wait, no, let's check again. The sides are: top: 8 in, right: 8 in, bottom: 12 in, left: 7 in. Wait, but is the left side 7 in? Wait, the right angle is at the bottom left, so left side is vertical (7 in), bottom is 12 in, top is 8 in, right side is 8 in. Wait, but then the perimeter is 8 (top) + 8 (right) + 12 (bottom) + 7 (left) = 35? But the options have 34, 70, 84, 35? Wait, maybe I misread. Wait, maybe the left side is not 7? Wait, no, the diagram shows left side 7 in, bottom 12 in, top 8 in, right side 8 in. Wait, but 8+8+12+7=35. But the first option is 34, maybe I made a mistake. Wait, wait, maybe the left side is not 7? Wait, no, the right angle is there, so left side is 7. Wait, maybe the figure is a trapezoid with the two parallel sides 8 and 12, the height 7, and the non-parallel side 8. Wait, but the perimeter is sum of all four sides: 8 (top) + 8 (right) + 12 (bottom) + 7 (left) = 35. But the options include 35? Wait, the last option is 35 in? Let me check the options again. The options are: 34 in, 70 in, 84 in, 35 in. So maybe I was right. Wait, but let's recalculate: 8 + 8 = 16, 16 + 12 = 28, 28 + 7 = 35. So the perimeter is 35 in. Wait, but maybe the left side is not 7? Wait, no, the diagram shows 7 in on the left. So the correct sum is 8 + 8 + 12 + 7 = 35.

Wait, maybe I misread the sides. Wait, the top is 8, right is 8, bottom is 12, left is 7. So 8+8=16, 12+7=19, 16+19=35. Yes. So the perimeter is 35 inches.

Answer:

35 in (assuming the last option is 35 in, as per the options shown: 34 in, 70 in, 84 in, 35 in)