Q:

The length of a rectangle is given by the function l(x)=2x+1, and the width of the rectangle is given by the function w(x)=x+4.Which function defines the area of the rectangle?Hint: A=l⋅wa(x)=2x^2+5x+4a(x)=3x+5a(x)=2x^2+9x+4a(x)=x−3

Accepted Solution

A:
Answer:a(x)=2x^2+9x+4Step-by-step explanation:We have been given the length and width, as well as the formula to find the area:Length: 2x + 1Width: x + 4A = l * wA = (2x + 1)(x + 4)2x^2 + 8x + x + 4We can add like terms now:2x^2 + 9x + 4Our area is 2x^2 + 9x + 4Our answer would be a(x)=2x^2+9x+4