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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 the Garden [Length of Rectangle is 20 − (3.5 + 3.5) Metres] - CBSE Class 8 - Mathematics

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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 the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]

Solution

Length of the rectangle = [20 − (3.5 + 3.5)] metres = 13 m

Circumference of 1 semi-circular part = π`=(22/7 xx 3.5)m = 11 m`

Circumference of both semi-circular parts = (2 × 11) m = 22 m

Perimeter of the garden = AB + Length of both semi-circular regions BC and

DA + CD

= 13 m + 22 m + 13 m = 48 m­

Area of the garden = Area of rectangle + 2 × Area of two semi-circular regions

`[(13xx7)+2xx1/2xx22/7xx(3.5)^2]m^2`

= `(91+38.5)m^2`

= `129.5 m^2`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 11: Mensuration
Ex. 11.10 | Q: 3 | Page no. 171
Solution 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 the Garden [Length of Rectangle is 20 − (3.5 + 3.5) Metres] Concept: Introduction of Mensuration.
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