Question

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?

Answer 1

[AI-generated answer — Bot]

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.