27. Metallurgy The end of a gold bar has the shape of a trapezoid with the measurements shown. Find the area of the end.

    

28. Open-Ended Draw a kite. Measure the lengths of its diagonals. Find its area.

Find the area of each trapezoid to the nearest tenth.

Coordinate Geometry Find the area of quadrilateral QRST.

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35. What is the area of the kite below?

    

    1. 90   m 2 90 , m squared
    2. 108   m 2 108 , m squared
    3. 135   m 2 135 , m squared
    4. 216   m 2 216 , m squared
36. 1. Coordinate Geometry Graph the lines x = 0   , x = 6   , y = 0   , x equals 0 comma . x equals 6 comma . y equals 0 comma  and y = x + 4   . y equals . x plus 4 .
    2. What type of quadrilateral do the lines form?
    3. Find the area of the quadrilateral.

Find the area of each rhombus. Leave your answer in simplest radical form.

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40. Visualization The kite has diagonals d 1 d sub 1  and d 2 d sub 2  congruent to the sides of the rectangle. Explain why the area of the kite is 1 2 d 1 d 2 . 1 half , d sub 1 . d sub 2 , .

    

41. Draw a trapezoid. Label its bases b 1 b sub 1  and b 2 b sub 2  and its height h. Then draw a diagonal of the trapezoid.
    1. Write equations for the area of each of the two triangles formed.
    2. Writing Explain how you can justify the trapezoid area formula using the areas of the two triangles.

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