Question

The parallel sides of a traperium are in the ratio 2:3, its height is 20cm and area is 500 cm ² find the length of the parallel sides

please ans me​

Answer 1

Answer:

Since they are in ratio 2:3, let side be 2x and 3x respectively. 2x=2(10)=20. 3x=3(10)=30.

Annyeong Army (◍•ᴗ•◍)❤

Answer 2

Given :

• The parallel sides of a trapezium are in the ratio 2:3 . and the area is 500 cm² .
• Height is 20 cm .

To Find :

• Length of parallel sides .

Solution :

$\longmapsto\tt{Let\:one\:parallel\:side\:be=2x}$

$\longmapsto\tt{Let\:other\:parallel\:side\:be=3x}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{500=\dfrac{1}{{\cancel{2}}}\times{(2x+3x)}\times{{\cancel{20}}}}$

$\longmapsto\tt{500=(2x+3x)\times{10}}$

$\longmapsto\tt{500=20x+30x}$

$\longmapsto\tt{500=50x}$

$\longmapsto\tt{x=\cancel\dfrac{500}{50}}$

$\longmapsto\tt\bf{x=10}$

Value of x is 10 .

Therefore :

$\longmapsto\tt{Length\:of\:one\:parallel\:side=2(10)}$

$\longmapsto\tt\bf{20\:cm}$

$\longmapsto\tt{Length\:of\:other\:parallel\:side=3(10)}$

$\longmapsto\tt\bf{30\:cm}$