Question

the are of trapezium is 1100 sqm. the distance between two parallel sides is 20m and one of the parallel side is 70m find the length of the other parallel side

Answer 1

Answer:

40

Step-by-step explanation:

Area of trapezium is 1100 sqm

Base is 70 m

Height is 2m

Formula to find area of trapezium is a+b/2*h

So,70+x/2*20=1100

70+x/2=1100/20

70+x/2=55

70+x=55*2

70+x=110

x=110-70

X=40

Answer 2

Length of other parallel side is 40 meter.

Given:

• Area of trapezium is 1100 sq-m.
• The distance between two parallel sides is 20m and one of the parallel side is 70m.

To find:

• Find the length of the other parallel side.

Solution:

Formula to be used:

Area of trapezium=

$\bf \frac{1}{2} (sum \: of \: parallel \: sides) \times perpendicular \: distance.$

Step 1:

Write the values which are given.

Area of trapezium= 1100 sq-m

Perpendicular distance= 20 m

One parallel side is =70 m

Let the other parallel side is x meter.

Step 2:

Put the values in the formula and calculate for x.

$1100 = \frac{1}{2} \times 20(70 + x)$

or

$1100 = 10(70 + x)$

or

$70 + x = 110$

or

$x = 110 - 70$

or

$\bf x = 40 \: m \:$

Thus,

Other parallel side is 40 meter.

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