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GATE BT 2023 | GA Question: 3

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In the given figure, $\mathrm{PQRS}$ is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $P V=5 \mathrm{~cm}$. What is the length of $\text{RS}$ in $\mathrm{cm}$? (The diagram is representative.)

  1. $\frac{20}{7}$
  2. $\frac{28}{5}$
  3. $\frac{9}{2}$
  4. $\frac{35}{4}$

 

 

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Area of parallelogram,

PS×PT =7×4=28cm^2

Again area of parallelogram,

PQ ×PV =PQ×5cm

PQ×5cm = 28 cm^2

PQ=28/5 =RS
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