abitbior62
Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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 ​

Sagot :

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,

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

Now, Substituting the given values in the formula :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}[/tex]

[tex]\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}[/tex]

Therefore,

  • The other parallel side of the trapezium is 12 cm.
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.