Representation of a garden showing positive energy brought by plants which length is 8 more than 2 times the width.

Question

The polynomial function to model the area of the garden would be f(x)=2x^2+8x where f(x) is the area and x is the measure of the width.

Answer 1

L = 8+2x

A=LW = 2x^2 + 8x = 2x + 8

2x^2 +6x - 8 = 0

x^2 +3x -4 = 0

(x+4)(x-3) = 0

x-3=0

x = 3 = width

L = 8+2(3) = 14 = length

Area =3(14) = 42