Question

a rectangular parking lot has a lenth that is 6 yard graeter than the width the area of the parking lot is 160 ssquar yardsd. find the lenth and the width use the formulaarea

Answer 1

Required Answer:-

Let

the breadth =x

the length =6x

• 
  `\sf Area=160yard^2`

As we know that in a rectangle

`{\boxed{\sf Area=lb}}`

• Substitute the values

`{:}\longrightarrow`
`\sf x* 6x=160`

`{:}\longrightarrow`
`\sf 6x^2=160`

`{:}\longrightarrow`
`\sf x^2={\frac {160}{6}}`

`{:}\longrightarrow`
`\sf x^2=26.6`

`{:}\longrightarrow`
`\sf x=\sqrt {26.6}`

`{:}\longrightarrow`
`\sf x=5.1yards`

• Length=6\times 5.1=30.6yards
• Breadth=5.1yards