Question

A rectangular room is 1.5 times as long as it is wide, and its perimeter is 26 meters. Find the dimension of the room.The length is :The width is :

Answer 1

The rectangular room is 1.5times as long as it is wide and its perimeter is 26m. Let "x" represent the room's width, then the length of the room can be expressed as "1.5x"

The perimeter of a rectangle is equal to the sum of twice the width and twice the length following the formula:

`P=2w+2l`

We know that:

P=26m

w=x

l=1.5x

Then, replace the measurements on the formula:

`\begin{gathered} 26=2x+2\cdot1.5x \\ 26=2x+3x \end{gathered}`

From this expression, you can calculate x, first, add the like terms:

`26=5x`

Second, divide both sides by 5 to determine the value of x:

`\begin{gathered} (26)/(5)=(5x)/(5) \\ 5.2=x \end{gathered}`

The width is x= 5.2m

The length is 1.5x= 1.5*5.2= 7.8m