Question

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



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Answer 1

Answer :-

36 cm

Solution:-

Given-

Area of trapezium = 850 cm²

One of the parallel side is 64 cm.

Height = 17 cm

__________________________

To find-

Length of other parallel side

__________________________

Solution-

Let the other parallel side be x

So,

We have formula to find area of trapezium :-

$\large{\star{\bf{\boxed{\boxed{Area \: = \: {\frac{1}{2}}(Sum \: of \: parallel \: side){\times}Height}}}}}$

___________________[Put values]

» $\large{\bf{850\: = \: {\frac{1}{2}}(64 \: + \: x){\times}17}}$

» 850*2 = (64 + x)*17

» 1700 = (64 + x)*17

» 64 + x = 1700/17

» 64 + x = 100

» x = 100 - 64

» x = 36

$\huge{\bf{\bigstar{\boxed{x \: = \: 36 cm}}}}$

Answer 2

Answer:

The length of the other parallel side is 36 cm.

Step-by-step explanation:

Given

Area of the trapezium = 850 cm²

Length of one of the parallel sides (a) = 64 cm

Perpendicular distance between two parallel sides (h) = 17 cm

Let the length of other parallel side be b cm

We know that

Area of the trapezium = 1/2 * h * (a + b)

⇒ 850 = 1/2 * 17 * (64 + b)

⇒ 850 = 17/2 * (64 + b)

⇒ 850 * 2/17 = 64 + b

⇒ 1700/17 = 64 + b

⇒ 100 = 64 + b

⇒ 100 - 64 = b

⇒ 36 = b

⇒ b = 36

Therefore the length of the other parallel side is 36 cm.