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Home > CC1 > Chapter 5 > Lesson 5.3.4 > Problem 5-101

5-101.

Choose any strategy to find the area of each shape below. Use the information in the Math Notes boxes for help. Assume that the shape in part (a) is a parallelogram and that the shape in part (b) is a trapezoid.  

  1. A parallelogram, slanted right, with bottom side labeled, 4 in. A right triangle is created by a dashed line segment of 5 in, drawn from the top left vertex, to the bottom side, at a 90 degree angle to the bottom.

  1. A trapezoid with horizontal parallel bases of 14 in, and 6 in. A dashed line, labeled 8 in, perpendicular to both bases, connects the bases.

  • Form a rectangle using the left portion of the parallelogram. Then find the area of the rectangle.

  • When the trapezoid is copied and rotated, a parallelogram can be formed.

    Form a parallelogram using the rotated trapezoid.

    Now find the area of the parallelogram.

    Use this area to find the area of the original trapezoid.

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