Question

Mr. Blue has a rectangular kitchen that is 3x^2 units wide and 4xy + 5x^3 y^2 units long. He is replacing the old flooring with square tiles. Find the area of the kitchen floor.

Answer 1

Answer:

The area of the kitchen floor is $A=(12x^{3}y+15x^{5}y^{2})\ units^2$

Step-by-step explanation:

we know that

The area of the rectangular kitchen floor is

$A=LW$

where

L is the length of rectangle

W is the width of rectangle

we have

$L=(4xy+5x^{3}y^{2})\ units$

$W=3x^{2}\ units$

substitute the given values

$A=(4xy+5x^{3}y^{2})3x^{2}$

Applying the distributive property

$A=(4xy)3x^{2}+(5x^{3}y^{2})3x^{2}$

Applying the rule of exponents:

$(x^a)(x^b) = x^{a+b}$

$A=(12x^{3}y+15x^{5}y^{2})\ units^2$