Area of the path will be 90 square feet.
How to find the area of the path?
- The yard is rectangular in shape.
- In the figure, there are two right angles triangles on two sides of the path
- Area of the path = (Area of the rectangular yard) - (Area of two right angled triangles)
- The width of the path is 3 feet. So, the base of the right angled triangle = (12-3) feet = 9 feet
- Area of the right angled triangle = base x height/2
= (9 x 30/2) square feet = 135 square feet
- Area of the yard = ( length x breadth)
= ( 30 x 12) square feet = 360 square feet
- Area of the part = {360 - 2(135)} square feet
= 90 square feet
Area of the path will be 90 square feet.
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