Question

The area of a rectangle, A = l x w is represented by the expression 24x^6 y^15. Which could be the dimensions of the rectangle?

Answer 1

Answer:

$24x^6$ and $y^{15}$

Step-by-step explanation:

We know the formula for finding the area of a rectangle:

Area of a rectangle = l x w

where l = length; and

w = width

Given an expression $24x^{6} y^{15}$for the area of a rectangle, we can divide it into two parts:

$24x^6$ and $y^{15}$

Therefore, we can determine the length and width of the rectangle to be $24x^6$ and  $y^{15}$ respectively.

Answer 2

The length of the rectangle with area $24{x^6}{y^{15}}$ is $\boxed{24{x^6}}$ and the width of the rectangle is $\boxed{{y^{15}}}.$

Further Explanation:

The formula of area of rectangle can be expressed as follows,

$\boxed{Area=\left( l \right)\times\left( w \right)}$

The formula of perimeter of the rectangle can be expressed as follows,

$\boxed{{\text{Perimeter}}=2\left( {l + w}\right)}$

Here, “l” represents the length of the rectangle and “w” represents the width of the rectangle.

Explanation:

The given area of the rectangle is $24{x^6}{y^{15}}.$

Compare the formula of the rectangle $Area = \left( l \right) \times\left( w \right)$ with the given area of the rectangle to obtain the dimensions of the rectangle.

By comparing the length of the rectangle is $24{x^6}}$ and the width of rectangle is ${y^{15}}.$

The length of the rectangle with area $24{x^6}{y^{15}}$ is $\boxed{24{x^6}}$ and the width of the rectangle is $\boxed{{y^{15}}}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: rectangle, length, width, breadth, area of rectangle, circumference of rectangle, dimensions of rectangle, expression, equation, square.