Question

assume that all intersecting sides meet at right angles. include the correct unit in your answer. diagram with lengths: 16 yd, 4 yd, 9 yd, 6 yd, 7 yd, and a ?

Explanation:

Step1: Analyze vertical sides

The vertical sides: we have 4 yd and 6 yd. To find the unknown vertical side, we add these two. So \( 4 + 6 = 10 \) yd. Wait, no, wait. Wait, let's check the horizontal and vertical. Wait, actually, for the vertical direction, the total height should be the sum of the two vertical segments. Wait, the figure is a composite of rectangles. Let's see the vertical sides: one part is 4 yd, another is 6 yd. So the total vertical length (the unknown side) should be \( 4 + 6 = 10 \) yd? Wait, no, wait. Wait, let's check the horizontal. Wait, maybe I got it wrong. Wait, the horizontal sides: 16 yd, and then 9 yd and 7 yd. Wait, 9 + 7 = 16? No, 9 + 7 = 16? 9 +7=16, yes. So for the vertical, the two vertical segments: 4 yd and 6 yd. So the unknown vertical side is 4 + 6 = 10 yd. Wait, let's confirm. The figure is made by two rectangles? Wait, no, it's a single composite figure with right angles. So the vertical sides: the left side is 4 yd, then there's a 6 yd segment below, so the total right side should be 4 + 6 = 10 yd. Let's check: 4 (top vertical) + 6 (bottom vertical) = 10. So the unknown side is 10 yards.

Step2: Confirm

Since all intersecting sides meet at right angles, the vertical lengths should add up. The top vertical segment is 4 yd, the bottom vertical segment (from the indent) is 6 yd. So adding them gives the total vertical length of the right side: \( 4 + 6 = 10 \) yd.

Answer:

10 yards