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,

$\sf \: Area \: of \: rectangle = 5000 \: ft {}^{2}$

$\sf \implies \: Length \times Width = 5000$

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

$\sf \implies 4a \times a = 5000$

$\sf \implies4 {a}^{2} = 5000$

$\sf\implies \: {a}^{2} = \cancel \dfrac{5000}{4}$

$\sf\implies \: {a}^{2} = 1250$

$\sf \implies \: a = \sqrt{1250}$

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

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