# A regular region of length x and width y has an area of 493 square meters. Write the...

## Question:

A regular region of length {eq}x {/eq} and width {eq}y {/eq} has an area of 493 square meters. Write the width {eq}y {/eq} as a function of {eq}x {/eq}.

## Rectangle:

Consider a rectangle of dimensions {eq}l \times b {/eq}

It's area is given by {eq}A = lb {/eq}

It's perimeter is given by {eq}P = 2(l+b) {/eq}

Given area:

{eq}xy = 493 \\ y = \frac{493}{x} = f(x) {/eq}

Hence y is written as a function of x

Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
58K