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.
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Given : Lisa has to cut her grandma's grass this weekend
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.
To Find : Area of Polygon
Solution:
Area of triangle = (1/2) bh
= (1/2) * 20 * 20
= 200 sq feet
= (1/2) * 6 * 6
= 18 sq feet
Area of rectangle = 30 x 6 = 180 sq feet
Total area = 200 + 18 + 180
= 398 sq feet
Area of Polygon = 398 sq feet
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