Question

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter
of this garden (Length of rectangle is
20-(3.5 +3.5) metres).
​

Answer 1

Given:

• Total length = 20 m
• Diameter of semi circle = 7 m
• Radius of semi circle = 7/2 = 3.5 m

Solution:

:: Length of rectangular field

$\implies$ 20 - (3.5 + 3.5)

$\implies$ 20 - 7

$\implies$ 13 m

:: Breadth of the rectangular field = 7 m

:: Area of rectangular field = l×b

$\implies$ 13 × 7

$\implies$ 91 m²

:: Area of two semi circles = 2× ( ½ )× π × r²

$\implies$ 2× (1/2) × 22/7 × 3.5 × 3.5

$\implies$ 38.5 m²

:: Area of garden $\implies$ 91 + 38.5

$\implies$ 129.5 m²

:: Now Perimeter of two semi circles,

$\implies$ 2πr

$\implies$ 2×(22/7)×3.5

$\implies$ 22 m

:: Perimeter of garden = (22 + 13 + 13)m

$\implies$ 48 m

Answer 2

Answer:

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