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?

Question

asked Dec 6, 2021 51.0k views

1 Answer

Erika Dsouza · Answer 1 · 2021-12-11T02:56:19+0000

$\bf \underline{ \underline{Given : }}$

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

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..

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

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

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

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

$\sf \implies \: a = √(1250)$

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

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