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A figure is in the form of rectangle PQRS having a semi-circle on side QR as shown in the figure. Determine the area of the plot.

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#### Solution

**Given:** The rectangle is PQRS, and the semi-circle is OQTR, both drawn on side QR.

Now, Area of the rectangle PQRS = 50 × 28 = 1400 cm^{2}

Radius of the semi-circle, r = `(QR)/2 = 28/2` = 14 cm

So, Area of semi-circle OQTR = `1/2 πr^2`

= `1/2 xx 22/7 xx (14)^2`

= `1/2 xx 22/7 xx 14 xx 14`

= 22 × 14

= 308 cm^{2}

Area of the plot = Area of semi-circle OQTR + Area of rectangle PQRS

= 308 + 1400

= 1708 cm^{2}

As a result, the plot's area is 1708 cm^{2}.

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