Answer:
width = 16 cm
length = 19 cm
Step-by-step explanation:
Let the width be x cm.
Given that length is 3 cm more than width then
length = x+3 cm
area of rectangle = 304 square cm. -----1
area of rectangle is given by
area =length * width
substituting from equation 1 and length and width in terms of x we have
304 = x(x+3)
[tex]=> 304 = x^2+3x\\\\=> 304 -304= x^2+3x -304\\=> 0= x^2+3x -304\\=> x^2+3x -304 = 0\\=> x^2+19x - 16x -304 = 0\\=> x(x+19 ) -16(x+19) = 0\\=> (x-16) (x+19 )= 0\\x-16 = 0 \ or \ x+19 = 0\\ x= 16 \or \ x = -19[/tex]
As length cannot be negative hence x = 16
Thus width = x = 16 cm
length = x+3 = 16+3 = 19 cm
