Question

7. Open area of a house is in the shape of a trapezium with parallel sides in the ratio 3 : 5. Its area is
50 m2 and the perpendicular distance between the parallel sides is 5 metres. Find the length of two
parallel sides of that open area.​

Answer 1

$\huge\fcolorbox{red}{cyan}{7.5\:m\:and\:10\:m}$

Step-by-step explanation:

• Parallel Side(a) = 3x

• Parallel Side(b) = 5x

• Height(h) = 5 m

• Area = 50 m²

$\bf\color{purple}{Area=\frac{1}{2}\times(a+b)\times h} \\ => \frac{1}{2} \times (5x+3x) \times 5 = 50 \\ => \frac{1}{2} \times 8x \times 5 = 50 \\ => 4x \times 5 = 50 \\ => 20 x = 50 \\ => x = \frac{50}{20} \\ =>\boxed{x = 2.5}$

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Now Lets Calculate The Sides :-

• 3x => 3 x 2.5 = 7.5

• 5x => 5 x 2.5 = 10

Hope it helped