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{ (1)/(2) * (sum \: of \: the \: parallel \: sides) * height} = \pmb{Area_((trapezium))}}`

Now, Substituting the given values in the formula :

`\qquad { \dashrightarrow \: { \sf{ (1)/(2) * (16 + x)\: * 10 \: = {140}}}}`

`\qquad { \dashrightarrow \: { \sf{ 5 * (16 + x)\ \: = {140}}}}`

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

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

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

`\qquad { \dashrightarrow \: { \sf{ x = { (60)/(5) }}}}`

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

Therefore,

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