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Home > CCG > Chapter Ch8 > Lesson 8.3.2 > Problem 8-106

8-106.

Use what you know about similar figures to complete the following tasks.

    1. Find the area and perimeter of the trapezoid below.

      Do not assume the trapezoid is isosceles even though it looks like it.
      Start by solving for in the diagram, then solve for , then calculate the length of the unknown side of the trapezoid.

      Split the trapezoid into parts. The base of the triangle on the left side is x. The length of the rectangle in the middle is 8. The width is 4. The base of the triangle on the right side is y. The hypotenuse is unknown.

      Area = square units

    2. Find the area and perimeter of the trapezoid that is similar to this one, but has been reduced by a linear scale factor of .

A trapezoid with horizontal parallel bases: bottom is 8, and top is 13. Left side is 5 and right side is blank. A dashed line, labeled 4, is perpendicular to both bases, connects the bases.