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2 years ago

This trapezoid is made up of two right triangles and one rectangle.

Mathematics

1 answer:

artcher [175]2 years ago

5 0

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

The area of the central rectangle is the product of its base and height.

A = bh = (22 in)(17 in) = 374 in² . . . rectangle area

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

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