A rectangular porch has dimensions of S(x+12) and (x+5) feet. If the area of the porch floor is 120 square feet, what are its length and width?

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Brighton · Accepted Answer

Step 1  Given: A rectangular porch has dimensions of S(x+12) and (x+5) feet. If the area of the porch floor is 120 square feet.  To find: length and width of rectangular porch.  Step 2  Solutions: Let the length of rectangular porch be (x+12) feet.  width of rectangular porch be (x+5) feet.  Area of rectangular porch =120 sq. feet.  Now according question,  Area of rectangular body is given by  ⇒Area=l×w.  ⇒120=(x+12)(x+5)  ⇒(x+12)(x+5)=120  ⇒x2+5x+12x+60=120  ⇒x2+5x+12x=120−60  ⇒x2+17x=60  ⇒x2+17x−60=0  Step 3  ⇒x2+20x−3x−60=0.  ⇒x(x+20)−3(x+20)=0  ⇒(x+20)(x−3)=0  ⇒x=+3,−20  We choose (+ue) value of x i.e. 3  Length of Rectangular porch =(x+12) feet  =(3+12) feet  =15 feet  width of rectangular porch =(x+5) feet  =(5+3) feet  =8 feet

A rectangular porch has dimensions of S(x+12) and (x+5) feet.

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