# Find the Height of a Trapezium, the Sum of the Lengths of Whose Bases (Parallel Sides) is 60 Cm and Whose Area is 600 Cm2. - Mathematics

Sum

Find the height of a trapezium, the sum of the lengths of whose bases (parallel sides) is 60 cm and whose area is 600 cm2.

#### Solution

Given:
Sum of the parallel sides of a trapezium = 60 cm
${\text{ Area of the trapezium }= 600 cm}^2$
$\text{ Area of trapezium }=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Height })$
On putting the values:
$600 = \frac{1}{2} \times 60 \times (\text{ Height })$
$600 = 30 \times (\text{ Height })$
$\text{ Height }=\frac{600}{30}= 20 cm$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 20 Mensuration - I (Area of a Trapezium and a Polygon)
Exercise 20.2 | Q 4 | Page 22