Question

The area of trapezium is 480 CM square its height is 15 cm and one of the parallel side is 20 cm. find the length of the other side. ​

Answer 1

Check the attachment!

Answer 2

$\bf{\huge{\underline{\boxed{\rm{\red{Answer:}}}}}}$

Given:-

$\bf\large\rm{Area\:of\:a\:trapezium \: is\:480cm^2}$

$\bf\large\rm{ Height \: =\: 15cm}$

$\bf\large\rm{One\:of\:the\:parallel\:side \:= \:20cm}$ = Side 1

To find :-

the length of the other side = side 2

Solution :-

$\bf{\large{\underline{\boxed{\rm{\blue{Area\:of\:trapezium = 1/2\: × \: Sum \:parallel\:sides\:×\: Heigt}}}}}}$

Plug the values in the above formula,

480 = $\bf\large\frac{1}{2}$ × (Side 1 + Side 2) × 15

480 = $\bf\large\frac{1}{2}$ ×( 20 + Side 2) × 15

$\bf\large\frac{480×2}{15}$ = 20 + Side 2

$\bf\large\frac{960}{15}$ = 20 + Side 2

64 = 20 + Side 2

64 - 20 = Side 2

44 = Side 2

•°• the length of the other parallel side of the trapezium = 44cm

$\bf{\huge{\underline{\boxed{\rm{\pink{Verification:}}}}}}$

$\bf{\large{\underline{\boxed{\rm{\blue{Area\:of\:trapezium = 1/2\: × \: Sum \:parallel\:sides\:×\: Heigt}}}}}}$

Plug the values,

480 = $\bf\large\frac{1}{2}$ × 20 + 44 × 15

480 = $\bf\large\frac{1}{2}$ × 64 × 15

480 = 32 × 15

480 = 480

LHS = RHS

Hence we conclude our answer to be right.