Question

The area of a trapezium is 180 cm2 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.

Answer 1

Answer:

hope its help you

Step-by-step explanation:

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Answer 2

Answer:

the parallel sides are 23 and 17

Step-by-step explanation:

area of a rapezium = 1/2 (a+b) * h

a and b are the 2 parallel sides

a is longer than b by 6cm

a= b+ 6

1/2 (a+b) * h

= 1/2 (6+b+b) * 9 = 180

1/2 (6+2b) * 9 = 180

divide both sides by 9

= 1/2(6+2b) = 180/9

1/2(6+2b) = 20

open the brackets

3 + b = 20

b = 20 - 3

b = 17

we already know tha a = 6 + b

so a =  6 + 17

a = 23

therefore the parallel sides are 23 and 17

CHECK:

1/2(23+17) * 9

= 1/2(40) * 9

= 20 * 9 = 180

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