Question

The area of a trapezium is 480 cm square, the distance between two
parallel sides is 15cm and one of the parallel side is 20 cm. Find the measures of the other parallel sides.


• Please Answer the question
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Answer 1

$\large\bf{\underline\orange{Answer \:↝}}$

Given :-

Area of trapezium = 480 cm²

Distance between two parallel sides is 15cm. Means height of trapezium is 15cm.

One parallel side = 20 cm.

To find :- Other parallel sides.

Solution :-

We know that,

Area of trapezium = $\frac{a + b}{2} \times h$

In which 'a' and 'b' are parallel sides and 'h' is height of trapezium or we can say distance between parallel sides.

So, According to question

⇒480 = 20 + b /2 × 15

⇒480 × 2 = 20 + b × 15

⇒960 = 20 + b× 15

⇒960/15 = 20 + b

⇒64 = 20 + b

⇒64 - 20 = b

⇒44 = b

Hence , Other parallel side is 44 cm.

Answer 2

Given :-

Area of trapezium = 480 cm²

Distance between two parallel sides is 15cm. Means height of trapezium is 15cm.

One parallel side = 20 cm.

To find :- Other parallel sides.

Solution :-

We know that,

Area of trapezium = \frac{a + b}{2} \times h

2

a+b

×h

In which 'a' and 'b' are parallel sides and 'h' is height of trapezium or we can say distance between parallel sides.

So, According to question

⇒480 = 20 + b /2 × 15

⇒480 × 2 = 20 + b × 15

⇒960 = 20 + b× 15

⇒960/15 = 20 + b

⇒64 = 20 + b

⇒64 - 20 = b

⇒44 = b

Hence , Other parallel side is 44 cm.