Let's assume that the width of the rectangle is x meters.
As per the given information, the length of the rectangle is 3 meters longer than its width, so the length of the rectangle will be (x+3) meters.
We know that the area of the rectangle is given by the formula:
A = Length × Width
So, we can write:
154 = (x+3) × x
Expanding the expression:
154 = x^2 + 3x
Bringing all the terms of the equation to one side:
x^2 + 3x - 154 = 0
We can now solve this quadratic equation to find the value of x. Factoring this equation, we get:
(x+14)(x-11) = 0
So, either x+14=0 or x-11=0. Hence,
x = -14 or x = 11
We ignore the negative value of x, as width cannot be negative.
Therefore, the width of the rectangle is 11 meters.
The length of a rectangle is 3 m longer than its width.
The area of the rectangle is 154 m².
What is the width of the rectangle?
1 answer