Question

the area of a quadrilateral pqrs is 150 square metre if pr = 20 and length of perpendicular from q on fear is 8 m.find the length of perpendicular from s on PR​

Answer 1

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Answer 2

The length of perpendicular from S on PR=7m

Step-by-step explanation:

Area of quadrilateral=150 square meter

PR=20 m

Length of perpendicular from Q on PR=8 m

Area of triangle PQR=$\frac{1}{2}\times b\times h$

Where b=Base of triangle

h=Height of triangle

Area of triangle PQR=$\frac{1}{2}\times 20\times 8=80 m^2$

Area of triangle PRS=150-80=70 square meter

Area of triangle PRS=$\frac{1}{2}\times PR\times h$

$70=\frac{1}{2}\times 20\times h$

$h=\frac{70\times 2}{20}=7m$

Hence, the length of perpendicular from S on PR=7m

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