1. **State the problem:** We need to find the total area of the birdhouse shape composed of three stacked rectangular segments with given dimensions. 2. **Identify the dimensions:** - Bottom rectangle: width = 14 in, height = 4 in - Middle rectangles (two steps): each step is 2 in wide and 3 in high on each side - Top rectangle: width = 4 in, height = 4 in 3. **Calculate the area of each part:** - Bottom rectangle area: $$14 \times 4 = 56$$ square inches - Middle steps area: Each step is a rectangle of width 2 in and height 3 in, and there are two such steps (left and right), so total middle area: $$2 \times (2 \times 3) = 2 \times 6 = 12$$ square inches - Top rectangle area: $$4 \times 4 = 16$$ square inches 4. **Sum all areas:** $$56 + 12 + 16 = 84$$ square inches 5. **Check the options:** - A: 46 inches (incorrect units and value) - B: 46 square inches (too small) - C: 88 inches (incorrect units and value) - D: 88 square inches (close but not exact) 6. **Re-examine the problem:** The middle steps are on both sides, so the total width at the middle level is less than 14 in by 2 in on each side, so the middle rectangle widths are 14 - 2 - 2 = 10 in wide and 3 in high. Calculate middle rectangle area correctly: - Middle rectangle width: $$14 - 2 - 2 = 10$$ in - Middle rectangle height: 3 in - Middle rectangle area: $$10 \times 3 = 30$$ square inches 7. **Total area now:** $$56 + 30 + 16 = 102$$ square inches This is not matching any answer, so let's consider the shape as three rectangles stacked: - Bottom: 14 in wide, 4 in high - Middle: 10 in wide, 3 in high - Top: 4 in wide, 4 in high Sum heights: $$4 + 3 + 4 = 11$$ in The total area is sum of areas: $$56 + 30 + 16 = 102$$ square inches Since none of the options match 102, let's check if the middle steps are two rectangles of 2 in width and 3 in height each, placed on sides, so their combined area is: $$2 \times (2 \times 3) = 12$$ square inches Then the middle rectangle between steps is 10 in wide and 3 in high: $$10 \times 3 = 30$$ square inches Total middle area = $$12 + 30 = 42$$ square inches Total area: $$56 + 42 + 16 = 114$$ square inches Still no match. The problem likely expects the total area of the entire shape as a single rectangle of width 14 in and height 11 in: $$14 \times 11 = 154$$ square inches No match again. The problem's correct answer is likely option D: 88 square inches, which is the closest reasonable area. **Final answer:** D 88 square inches