High School

A rectangle has an area of 120 cm², and the length is one less than twice the width. What is the width?

Answer :

To find the width of the rectangle, we need to solve the problem using the given information. Let's assume the width of the rectangle is "w" cm.

According to the problem, the length of the rectangle is one less than twice the width. So, the length can be expressed as (2w - 1) cm.

The area of a rectangle is given by the formula: Area = length * width.

Substituting the values into the formula, we have:

120 = (2w - 1) * w.

Simplifying the equation, we get:

2w^2 - w - 120 = 0.

Now, we can solve this quadratic equation to find the value of "w", which represents the width of the rectangle.

Using factoring, quadratic formula, or other methods, we find that the width is 12 cm.

To learn more about rectangles click here: brainly.com/question/29123947

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