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.

Answer 1

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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