The Area Of A Rectangle Is 1260in^2. Find The Dimensions Of The Rectangle If We Know That One Side Is 48in Longer Than Three Times The Other Side.

the area of a rectangle is 1260in^2. Find the dimensions of the rectangle if we know that one side is 48in longer than three times the other side.

 

Answer:

length = 90 inches

width = 14 inches

Computation:

Representation

length\Rightarrow\boxed{3x+48}\\\\width\Rightarrow\boxed{x}

Solving for the width of the rectangle.

3x+48(x)=1260\\3x^2+48x=1260\\3x^2+48x-1260=0\\\\by\:factoring,\\\\(3x+90)(x-14)\\\\considering\:the\:factor\:x-14\\\\x-14=0\\\\x=\boxed{14\:in}

Solving for the length of the rectangle.

3x+48=3(14)+48=42+48=\boxed{90\:in}


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