It's three rectangles and two congruent triangles.
A = 2×3 + 2×4 + 2×6 + 2(1/2)(6)(2) =38
Answer: 38 square inches
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That's probably what they want you to answer. Now let's call horse hockey on this problem.
We see the right triangles have legs 3 and 4 so their opposite side must be 5, not 6 as written. If we erase the 6 and the height 2 we get a consistent problem and an area of 2×3 + 2×4 + 2×5 + 2(1/2)(3)(4) = 36 square inches.
Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.
