Qstnid -C-3- The Two Parallel Sides And The Distance Between Them Are In The Ratio 3 : 4 : 2. If The Area Of The Trapezium Is 175 Cm<sup>2</sup>, Find Its Height. - 20: Area Of Trapezium And A Polygon Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

with Solutions - page 5

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#3
The two parallel sides and the distance between them are in the ratio 3 : 4 : 2. If the area of the trapezium is 175 cm², find its height.
Ans : Let the two parallel sides and the distance between them be 3x, 4x, 2x cm respectively
Area = 1/2 (sum of parallel sides) x (distance between parallel sides)
= 1/2 (3x + 4x) × 2x = 175 (given)
⇒ 7x × x = 175
⇒ 7x² = 175
⇒ x² = 25
⇒ x = 5
Height i.e. distance between parallel sides = 2x = 2× 5 = 10 cm