Question

The area of a rectangle A = I x w represented by the expression 24x^6y^15 which could be the dimensions of the rectangle

Answer 1

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 ${\text{Area}= \left( l \right) \times \left( w \right)$ 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, square.

Answer 2

Area of rectangle is given by:
Area=length×width
given that the area of our rectangle is 24x^6y^15. To get the possible dimensions, we shall factorize the area of our rectangle:
(24x^6y^15)
=(6x^6) by (4y^15)
or
=(8x^6) by (3y^15)
or
=(12x^3x^5) by (2x^3y^10)