Question

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

Answer 1

After calculating the value, l & w could be $2x^{5} y^{8}$ & $12x^{} y^{7}$.

Calculation:

The inquiry relates to the laws of indices

where, $x^{a} * x^{b}=x^{a+b}$

Provided the query, A= $24x^{6}y^{15}$

$2* 12$ might be used to calculate the length and width of 24.

Hence,

$x^{6}=x^{5} * x^{1} =x^{5+1}$

& $y^{15}= y^{8} * y^{7} =y^{8+7}$

So, it can be written as,

A=l * w

⇒ $24x^{6}y^{15}$ = $2x^{5}y^{8}$ * $12xy^{7}$

Therefore, it is concluded that the dimensions of the rectangle could be $2x^{5} y^{8}$ & $12x^{} y^{7}$.

Learn more about rectangles:

brainly.com/question/15019502?referrer=searchResults

#SPJ10