The Length Of A Rectangle Is 6 Cm More Than The Width.If The Are Is 55cm^2,Find The Dimension Of The Rectangle., Area Of Rectangle=(Length)(Width) Or

The length of a rectangle is 6 cm more than the width.If the are is 55cm^2,find the dimension of the rectangle.

Area of rectangle=(length)(width) or Al=lw

 

Answer:

Width=5 cm, Length=11 cm

Step-by-step explanation:

let x be the width and y be the length

y=6+x

area of rectangle=xy, substitute y in the formula, we have,

area=x(x+6)

55=x(x+6)

55=x²+6x

x²+6x-55=0, factor the equation

(x+11)(x-5)=0

x=-11 and 5,

since it involves length, x should not be negative, so we only consider

x=5

so, the width is 5 cm.

Since length is 6 cm longer than width, the length is 11 cm.

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