Question

A rectangular patio has a length that is 4 times its width and has an area of 5000 square feet. What is the width of the patio?

Answer 1

`\bf \underline{ \underline{Given : }}`

• A rectangular patio has a length that is 4 times its width.

• Area of rectangular patio is 5000 square feet.

`\bf \underline{ \underline{To \: be \: calculated : }}`

Calculate the width of the patio.

`\bf \underline{ \underline{Solution : }}`

Let the width be a.

Then,Length = 4a

According to the question,

`\sf \: Area \: of \: rectangle = 5000 \: ft {}^(2)`

`\sf \implies \: Length * Width = 5000`

Substituting the values of Length and width, we get..

`\sf \implies 4a * a = 5000`

`\sf \implies4 {a}^(2) = 5000`

`\sf\implies \: {a}^(2) = \cancel (5000)/(4)`

`\sf\implies \: {a}^(2) = 1250`

`\sf \implies \: a = √(1250)`

`\sf \implies \: a = 35.35 \: \: (approx)`

`\sf\therefore \: The \: width \: of \: rectangular \: patio \: is \: 35.35 \: ft`