# 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. - Mathematics

Sum

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.

#### Solution

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) x 2x = 175 (given)
=> 7x x x = 175
=> 7x2 = 175
=> x2 = 25
=> x = 5
Height i.e. distance between parallel sides = 2x = 2 x 5 = 10 cm

Concept: Area of Trapezium
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (C) | Q 3 | Page 232