Question

Work out the value of L

Answer 1

Given:-

• 
  `\rm{Area ( A ) = \bold{ 70}}`

`\:`

• 
  `\rm{Width ( W )= \bold 4}`

`\:`

• 
  `\rm{Height \: ( \: H \: ) = \bold2}`

`\:`

To find:-

• 
  `\rm \: Length ( L ) = \: \bold ?`

`\:`

By using given formula:-

• 
  `\pink{ \boxed{ \rm \purple{A = 2( LW + HW + HL )}}}`

`\:`

Solution:-

`{\color{hotpink}{ ↪} } \rm \: A = 2( LW + HW + HL )`

`\:`

`{\color{hotpink}{ ↪} } \rm \: 70 = 2( L×4 + 2×4 + 2×L )`

`\:`

`{\color{hotpink}{ ↪} } \rm \: 70 = 2( 4L + 8 + 2L )`

`\:`

`{\color{hotpink}{ ↪} } \rm \: 70 = 2( 6L + 8 )`

`\:`

`{\color{hotpink}{ ↪} } \rm \: 70 = 12L + 16`

`\:`

`{\color{hotpink}{ ↪} } \rm \: 70 - 16 = 12L`

`\:`

`{ \color{hotpink}{↪}} \: \rm{54 = 12L}`

`\:`

`{ \color{hotpink} ↪ } \rm \: \: \cancel (54)/(12) = L`

`\:`

`\color{black}{ \underline { \color{hotpink}↪ \underline{ \boxed{ \rm \red {L = 4.5 \: }}}} \: }`

`\:`

The Length of the cuboid is 4.5

Hope it helps! :)