Question

Q.1. The area of trapezium is 160cm square and the length of one of the parallel sides is 17cm and its height is 10cm. Find the length of the parallel sides.

plz explain with steps

formula: Area of Trapezium
=1/2 of height (sum of parallel sides)

Answer 1

Answer: 15 cm

Step-by-step explanation:

area of trapezium= h(a+b)/2

where a and b are parallel sides and h is the height or distance between them

area=160cm²

a= 17 cm

h= 10cm

substituting values in the formula....

160 = 10(17+b)/2

160×2 = 10(17+b)

320/10 = 17+b

b=32-17 =15

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Answer 2

Answer:

length of one parallel side(a) = 17 cm

length of other parallel side = b

height of trapezium(H) = 10 cm

area of trapezium = 160 cm

1/2 X (a+b) X H = 160

1/2 X (17 + b) X 10 =160

(17 + b) X 5 = 160

17 + b = 160/5

17 +b = 32

b = 32 - 17

b = 15 cm

so, length of second parallel side = 15 cm