# The Area of a Trapezium is 91 Cm2 and Its Height is 7 Cm. If One of the Parallel Sides is Longer than the Other by 8 Cm, Find the Two Parallel Sides. - Mathematics

Short Note
Sum

The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides.

#### Solution

Let the depth of canal bed.
Given:
Lengths of the parallel sides of the trapezium shape canal are 10 m and 6 m.
\And, the area of the cross section of the canal is 72 m2.
Area of trapezium $=\frac{1}{2}\times(\text{ Sum of the parallel sides })\times(\text{ Perpendicular distance between the parallel sides })$
$72 = \frac{1}{2} \times (10+6)\times (d)$
$72 = 8\times d$
$d =\frac{72}{8}= 9 m$

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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 12 | Page 23