the area of a rectangle, $a = lcdot w$ is represented by the expression $24x^{6}y^{15}$. which could be the…

the area of a rectangle, $a = lcdot w$ is represented by the expression $24x^{6}y^{15}$. which could be the dimensions of the rectangle?\n$2x^{5}y^{8}$ and $12xy^{7}$\n$6x^{2}y^{3}$ and $4x^{3}y^{5}$\n$10x^{6}y^{15}$ and $14x^{6}y^{15}$\n$9x^{4}y^{11}$ and $12x^{2}y^{4}$

the area of a rectangle, $a = lcdot w$ is represented by the expression $24x^{6}y^{15}$. which could be the dimensions of the rectangle?\n$2x^{5}y^{8}$ and $12xy^{7}$\n$6x^{2}y^{3}$ and $4x^{3}y^{5}$\n$10x^{6}y^{15}$ and $14x^{6}y^{15}$\n$9x^{4}y^{11}$ and $12x^{2}y^{4}$

Answer

Explanation:

Step1: Multiplicar los términos de cada opción

Para la opción A: $(2x^{5}y^{8})\times(12xy^{7})=(2\times12)x^{5 + 1}y^{8+7}=24x^{6}y^{15}$. Para la opción B: $(6x^{2}y^{3})\times(4x^{3}y^{5})=(6\times4)x^{2 + 3}y^{3+5}=24x^{5}y^{8}$. Para la opción C: $(10x^{6}y^{15})\times(14x^{6}y^{15})=(10\times14)x^{6+6}y^{15 + 15}=140x^{12}y^{30}$. Para la opción D: $(9x^{4}y^{11})\times(12x^{2}y^{4})=(9\times12)x^{4+2}y^{11 + 4}=108x^{6}y^{15}$.

Answer:

A. $2x^{5}y^{8}$ and $12xy^{7}$