L = Length
W = Width
A = Area
The length is 11cm more than the width means:
L = W + 11
A = L • W = 60
Replace L with W + 11 in this equation.
( W + 11 ) • W = 60
W^2 + 11 W = 60
Subtract 60 to both sides.
W^2 + 11 W - 60 = 0
Now solve this quadratic equation.
The solutions are:
W = - 15
and
W = 4
Width cannot be negative, so:
W = 4 cm
L = W + 11 = 4 + 11
L = 15 cm
THE AREA OF A RECTANGLE IS 60cm. THE length is 11cm more than the width. Find the width.
1 answer