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Compute the Area of Trapezium Pqrs is Fig. Below. - Mathematics

Compute the area of trapezium PQRS is Fig. below.

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Solution

We have 

ar (trap PQRS)  =  ar  (rect PSRT) +  are  a  (ΔQRT)

⇒ ar   (trap  .PQRS)  = PT × RT =`1/2`(QT × RT)

=   `8 xx RT = 1/2 ( 8 xx RT ) = 12 xx RT `

In , ΔQRT , we have

     QR2 = QT2 + RT2

⇒ RT = QR2  - QT2

⇒ ( RT ) = 172 - 8 2 = 225

⇒ RT = 15

Hence, ar (trap . PQRS ) = 12 × 15cm = 180 cm2

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.3 | Q 3 | Page 44
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