Question

Area of trapezium is 850sq.cm one of the parallel side is 64cm and perpendicular distance between parallel sides is 17 cm find length of other parallel side

Answer 1

I hope this will help you.

Answer 2

Answer:-

The length of the parallel side is 36 cm.

Step-by-step explanation:

Given:-

Area of the trapezium is - 850 sq.cm.

One of the parallel side is - 64cm.

The perpendicular distance between the parallel sides is - 17cm.

To find:-

The length of other parallel side.

Solution :

☆Consider the :-

Length of the other parallel side of the given trapezium as - 'x cm'

We know that..

Area of trapezium :

$\frac{1}{2} \times (a + b) \times h$

Put the values:

⇒ 850 = 1/2×(64+x)×17

⇒ 850 × 2 = 17 × (64 + x)

⇒ 1700 = 1088 + 17x

⇒ 17x = 1700 - 1088

⇒ 17x = 612

⇒ x = 612/17

⇒ x = 36

Hence,The length of parallel side is 36 cm