Question

the area of trapezium is 180 cm^2 and its height is 15cm. if one of the parallel side is double of other, find the length of two parallel sides...


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Answer 1

Answer:

Explanation:

GiveN :-

Area of Trapezium is 180 cm²

Height of Trapezium is 15 cm

One parallel side of trapezium is double of other

To FinD :-

Length of two Parallel Sides

SolutioN :-

Let one Parallel side be x

As Given that One parallel side of trapezium is double of other . So ,

Other Parallel side = 2x

Therefore :-

One Parallel side = x = 8 cm

Other Parallel side = 2x = 16 cm

So , The Length of Two parallel sides are 8 cm and 16 cm

Answer 2

Given :

• Area of Trapezium = 180 cm²
• Height of Trapezium = 15 cm
• One parallel side of trapezium is double of other

To Find :

• Length of two Parallel Sides

Solution :

Let one parallel side = x cm

We are given that One parallel side of trapezium is double of other. Therefore,

Other parallel side = 2x cm

We know that,

$\boxed{\bf Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:sides)}\times{h}}$

By Putting Values :

$\implies \bf{180=\dfrac{1}{2}\times{(x+2x)}\times{15}}$

$\implies \bf{180\times{2}=(x+2x)\times{15}}$

$\implies \bf{360=15x+30x}$

$\implies \bf{360=45x}$

$\implies \bf{x=\dfrac{360}{45}}$

$\implies \bf{x=8}$

Value of x is 8.

Therefore

• one parallel side = x cm = 8 cm
• Other parallel side = 2x = 2 × 8 cm = 16 cm

Hence, The Length of Two parallel sides are 8 cm and 16 cm.