Question

Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.

Answer 1

Answer:

  398 ft²

Step-by-step explanation:

Assuming you have correctly described the total area in terms of non-overlapping triangles and a rectangle, you can put the dimensions into the appropriate area formula and add up the pieces.

  Triangle area = 1/2·bh

  Rectangle area = bh

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So, the first triangle has an area of ...

  1/2·(20 ft)(20 ft) = 200 ft²

The second triangle has an area of ...

  1/2·(6 ft)(6 ft) = 18 ft²

The rectangle has an area of ...

  (30 ft)(6 ft) = 180 ft²

And the area total is ...

  200 ft² +18 ft² +180 ft² = 398 ft²