9514 1404 393
Answer:
- each triangle: 29.75 in²
- rectangle: 374 in²
- total area: 433.5 in²
Step-by-step explanation:
The base of each triangle is half the difference between the bases of the trapezoid:
(29 in -22 in)/2 = 7 in/2 = 3.5 in
The area of the triangle is given by the formula ...
A = 1/2bh
A = 1/2(3.5 in)(17 in) = 29.75 in² . . . triangle area
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The area of the central rectangle is the product of its base and height.
A = bh = (22 in)(17 in) = 374 in² . . . rectangle area
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The total area of the trapezoid is the sum of the areas of the two triangles and the area of the rectangle.
total area = 2(29.75 in²) + 374 in² = 433.5 in² . . . total trapezoid area
