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A plot in the form of a rectangle ABCD having semi-circle on BC as shown in Fig.15.64. If AB = 60m and BC = 28m, find the area of the plot.

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One of the important question for the board exam class 10 from
mensuration chapter.This question is from r d sharma class 10 maths.
chapter-15.4 question number-1 maths r d sharma,mensuration.

In this question we have to find the area of the plot given that
a plot in the form of a rectangle ABCD having semi-circle on BC.
If AB = 60m and BC = 28m.

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1 Answer

  1. Given, ABCD is a rectangle

    So, AB = CD = 60 m

    And, BC = AD = 28 m

    For the radius of the semi-circle = BC/2 = 28/2 = 14 m

    Now,

    Area of the plot = Area of rectangle ABCD + Area of semi – circle

    = (l x b) + ½ πr2

    = (60 x 28) + ½ (22/7)(14)2

    = 1680 + 308

    = 1988 cm2

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