Answer:
The length of the rectangle is 6cm while the width is 9cm
Step-by-step explanation:
Here, we are interested in calculating the length and width of the rectangle.
Let the length of the rectangle be x cm
We are told that the length is 3 cm
less than the width, this means that the width is (x + 3) cm
The area of the rectangle is 54cm^2
Mathematically;
Area of rectangle = L * B
Thus;
x(x + 3) = 54
x^2 + 3x = 54
x^2 + 3x -54 = 0
x^2 + 9x -6x -54 = 0
x(x + 9 ) -6(x + 9) = 0
(x -6)(x + 9) = 0
x -6 = 0 or x+ 9 = 0
x = 6 or -9
Since length cannot be negative we choose x = 6cm
But width = x + 3 = 6 + 3 = 9cm
