Math, asked by jayanthkumar007, 11 months ago

the area of a Trapezium is 60 centimetre square the distance between the parallel sides is sides is 6 cm and one of the parallel side is 8 cm wind the other parallel side

Answers

Answered by Mankuthemonkey01
59
Let the other parallel side be x


We know that the area of a trapezium=

= 1/2 × (sum of parallel sides) × h = area.


Given,

area = 60 cm²
Distance between parallel side (h) = 6cm
One paralle side = 8cm

and we have assumed the other parallel side as x

So Let's put the value in formula

=> 1/2 × (8 + x) × 6 = 60

=> 1/2 × 6 × (8 + x) = 60

=> 3 × (8 + x) = 60

=> (8 + x) = 60/3

=> 8 + x = 20

=> x = 20 - 8

=> x = 12 cm

Hence, other parallel side is 12 cm


Hope it helps dear friend ☺️

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Answered by SillySam
47
Heya mate, Here is ur answer

Area of trapezium=60 cm^2

Distance between parallel sides = height of trapezium= 6 cm

One parallel side = 8 cm

Let the other parallel side be x cm.

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

60 =  \frac{1}{2}  \times (8 + x) \times 6

60 = (8 + x) \times 3

60 = 24 + 3x


60 - 24 = 3x


  36 = 3x

 \frac{36}{3}  = x


12 = x


So, the other parallel side of the trapezium=12 cm.

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✔A quadrilateral with only one pair of parallel side is said to be a trapezium.

✔Area of trapezium=1/2 ×(sum of parallel sides)×height

✔The perpendicular distance between two parallel sides of a trapezium is said as height.

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