Question

if trapezium of area 140 cm horsepower sides 10 cm apart and one of them decides is 16 cm longfind the area find the length of the sother side ​

Answer 1

Given :

• Area of the trapezium is 140 cm².
• Its height is 10 cm.
• One of the parallel side is 16 cm.

To Find :

• The other parallel side.

Solution :

• Let the other parallel side be x

We know that,

${ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}$

Now, Substituting the given values in the formula :

$\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}$

$\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}$

$\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}$

$\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}$

$\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}$

$\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}$

$\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}$

Therefore,

• The other parallel side of the trapezium is 12 cm.