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Using the information given in the figure, find the area of the plot PQRST.

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1403 m^{2}

1503 m^{2}

1603 m^{2}

1303 m^{2}

answer is D.

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Detailed Solution

Q S^{2} = Q R^{2} + R S^{2} (Pythagoras Theorem)

Q S^{2} = 60^{2} + 11^{2}

QS = 61 m

Area of plot PQRST = Area of ∆ PQT + Area of ∆ TQS + Area of ∆ SQR

= \frac{1}{2} \times QT \times 10 + \frac{1}{2} \times QS \times 26 + \frac{1}{2} \times QR \times RS

= \frac{1}{2} [36 \times 10 + 61 \times 26 + 60 \times 11]

= \frac{1}{2} [360 + 1586 + 660]

= 1303 m^{2}

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