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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.

User Puissant
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Answer:

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.

User Shehbaz Jaffer
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