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Question

The shape of a garden is rectangular in the middle and semi circular ends as shown in the diagram. Find the area and the perimeter of this garden ]. 
1166500_21b82633f85041038d44156f51dde0e7.jpg


Solution

Given: Total length = $$20$$ m

Diameter of semi circle = $$7$$ m

 Radius of semi circle =  $$ 3.5 $$m

Length of rectangular field

=$$ 20 – (3.5 + 3.5) = 20 – 7 = 13 m$$

Breadth of the rectangular field $$= 7 m$$

 Area of rectangular field = 

=$$ 13 \times 7 = 91 m^2$$

Area of two semi circles = $$38.5 m^2$$

Area of garden $$= 91 + 38.5 =$$ $$129.5 m^2$$

Now Perimeter of two semi circles =  $$22$$ m

And Perimeter of garden

= $$22 + 13 + 13$$

= $$48$$ m


Mathematics

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