Question

!!!Hello!!!

The length of the parallel sides of a trapezium are in the ratio 4:7 if the height of trapezium is 14 m and it's area is 385 sq.m, find the length of it's parallel sides.

✨CONTENT QUALITY REQUIRED ✨

Answer 1

area of trapenzium= 1/2×h×(a+b)
385=1/2×14×(a+b)
385=7×(a+b)
(a+b)=55


ratio is 4:7
a=(4/11)×55=4×5=20 m
b=(7/11)×55=7×5=35 m


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Answer 2

Given that they are in the ratio of 4:7.

Let the length of the parallel sides be 4x and 7x.

Given that height of trapezium = 14m.

Given Area of trapezium = 385m^2.

We know that Area of trapezium = (1/2) * (sum of parallel sides) * (Distance between them)

= > 385 = (1/2) * (4x + 7x) * (14)

= > 385 = (1/2)(11x) * (14)

= > 385 * 2 = 154x

= > 770/154 = x

= > x = 5.

Now,

One parallel side = 4(5)

= 20.

Another parallel side = 7(5)

= 35

Therefore, the length of its parallel sides are 20 and 35 m.

Hope this helps!