Question

The area of a trapezium is 180cm and the length of one of the parallel side
is 22cm and its height is 12cm. Find the length of the other parallel side.​

Answer 1

Step-by-step explanation:

here is your answer brother

Answer 2

Question:-

The area of a trapezium is 180sq.cm.and the length of one of the parallel side is 22cm and its height is 12cm. Find the length of the other parallel side.

Required Answer:-

Given:-

• Area of the trapezium is 180sq.cm.
• Length of one of the parallel sides is 22cm
• Height of the trapezium is 12cm

To Find:-

• Other parallel side of the trapezium.

Solution:-

As we know that,

$\\ \underline{ \boxed{ \pmb{Area \: of \: trapezium = \frac{a + b}{2}h \: sq.cm.}}}$

Here,

• a and b is the parallel sides of the trapezium.
• h is the height of the trapezium.

Let,

• Other parallel side of the trapezium be b

According to the question,

$\\ \sf{ \bold{180 = \frac{22 + b}{2} \times 12}}$

$\\ \sf{ \implies{ \frac{22 + b}{2} \times 12 = 180}}$

$\\ \sf{ \implies{ \frac{22 + b}{2} = \frac{180}{12} }}$

$\\ \sf{ \implies{ \frac{22 + b}{2} = 15}}$

$\\ \sf{ \implies{22 + b = 15 \times 2}}$

$\\ \sf{ \implies{22 + b = 30}}$

$\\ \sf{ \implies{b = 30 - 22}}$

$\\ \sf{ \red{ \therefore{b = \bold{8}}}}$

$\\ \underline{ \boxed{ \rm{Hence \: the \: length \: of \: the \: other \: arallel \: side \: is \: \bold{8cm}}}}$

Verification:-

Here,

• The parallel sides of the trapezium is 22cm and 8cm
• Height of the trapezium is 12cm

Applying the formula:-

$\\ \sf{Area \: of \: the \: trapezium = ( \frac{22 + 8}{2} \times 12)sq.cm.}$

$\sf{ \therefore{Area \: of \: the \: trapezium = \bold{180sq.cm.}}}$

Hence, Verified!!