Question

The area of a trapezium is 850 sq.cm. One of the parallel side is 64cm and the perpendicular distance between the parallel sides is 17cm . Find the length of other parallel side.

Answer 1

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 :

$\bigstar\;\boxed{\sf {\dfrac{1}{2} \times Sum\; of\;the\; two\; parallel\; sides\; \times Perpendicular\; distance\; (Height)}}}$

Put the values:

⇒ 850 = $\dfrac{1}{2}$ × (64 + x) × 17

⇒ 850 × 2 = 17 × (64 + x)

⇒ 1700 = 1088 + 17x

⇒ 17x = 1700 - 1088

⇒ 17x = 612

⇒ x = $\dfrac{612}{17}$

⇒ x = 36

Hence, the length of the parallel side is 36 cm.

Answer 2

Hey there!

Answer:

Length of other parallel side is 36 cm.

Step-by-step explanation:

Given,

Area of trapezium = 850 cm²

One of the parallel side = 64 cm

The perpendicular distance between the parallel side = 17 cm

Let the other parallel side be x cm.

We know,

Area of trapezium = 1/2 * (sum of parallel sides) * corresponding height

850 = 1/2 * (64 + x) * 17

(850 * 2) / 17 = 64 +x

50 * 2 = 64 + x

100 - 64 = x

36 = x

or x = 36 cm.

Therefore, length of other parallel side is 36 cm.