Question

Mauser needs to find the area of his rectangular yard to determine how much sod he needs to buy the length and width of his yard is L(x) and W(x), can be represented using the following functions

Answer 1

The formula of the area of a rectangle is

$A=L\times W$

where L is the length and W is the width

we have

L(x)=2x-4

W(x)=x+3

we substitute the expression

$A(x)=(2x-4)(x+3)$

then we do the multiplication between the binomials

$A(x)=(2x\cdot x)+(2x\cdot3)+(-4\cdot x)+(-4\cdot3)$$A(x)=2x^2+6x-4x-12$

we sum similar terms and we obtain the final expression

$A(x)=2x^2+2x-12$