Question

The length of a rectangular storage room is 5 feet longer than its width. If the area of the room is 104 square feet, find its dimensions.

Answer 1

Explanation:

Let the width of the rectangular storage room be=x feet. Then, the length of the rectangular storage room is= (x+5) feet.

The area of the room =104 square feet

⇒
`Length{*}breadth=104`

⇒
`x(x+5)=104`

⇒
`x^(2)+5x-104=0`

⇒
`x^(2)+13x-8x-104=0`

⇒
`x(x+13)-8(x+13)=0`

⇒
`(x-8)(x+13)=0`

⇒x=8 and x=-13

Neglecting the negative value, we have the width of the rectangular storage room=x=8 feet.

Therefore, the length of the rectangular storage room=x+5=8+5=13 feet.

So, the dimensions of the room are 8 feet and 13 feet.