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


Drag numbers to show the area of each triangle and the area of the rectangle. Then drag a number to show the total area of the trapezoid.
30 PIONT IF YOU ANSWER

This Trapezoid Is Made Up Of Two Right Triangles And One RectangleDrag Numbers To Show The Area Of Each Triangle And The Area Of The Rectangle Then Drag A Numbe class=

Sagot :

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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

__

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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