Question

For a given set of rectangles, the length

varies inversely with the width. In one
of these rectangles, the length is 15 and
the width is 4. For this set of rectangles,
calculate the width of a rectangle whose
length is 2.

Answer 1

Therefore, the width of a rectangle with a length of 2 in this set of rectangles is 30.

Explanation:

To solve this problem, we need to use the concept of inverse variation. Inverse variation states that if two quantities are inversely proportional, their product remains constant.

Let's denote the length of the rectangle as L and the width as W.

Given that the length varies inversely with the width, we can write the equation as:

L * W = k

where k is a constant.

We are given one rectangle with a length of 15 and a width of 4. Plugging these values into the equation, we get:

15 * 4 = k

Simplifying, we find that k = 60.

Now, we can use the equation to find the width of a rectangle with a length of 2:

2 * W = 60

Solving for W, we find:

W = 60 / 2

W = 30