John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle. John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.

Question

Roland Patterson

Mathematics

20 September, 05:23

John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle. John is putting a fence around his garden that is shaped like a half circle and a rectangle. A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.

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Answers (1)

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Braydon Cunningham · Answer 1

Area of the garden = 98 + 19.25 = 117.25 ft²

Step-by-step explanation:

Area of the garden = area of the rectangle + area of the semi-circle

Area of the rectangle = L x B = 14 x 7 = 98 ft²

Area of the semi-circle = 1/2 x πR² = 1/2 x 22/7 x 3.5² = 19.25 ft²

Hence area of the garden = 98 + 19.25 = 117.25 ft²