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

Answer:

 

Step-by-step 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

⇒$Length{\times}breadth=104$

⇒$x(x+5)=104$

⇒$x^{2}+5x-104=0$

⇒$x^{2}+13x-8x-104=0$

⇒$x(x+13)-8(x+13)=0$

⇒$(x-8)(x+13)=0$

⇒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.