Area = x^2 + 5x + 6m^2 Height = x + 3m. What is the base of the sail?

Question

Area = x^2 + 5x + 6m^2 Height = x + 3m. What is the base of the sail?

Answer 1

a = bh/2

x^2 + 5x + 6m^2 = (b*(x+3m))/2

(x + 5m

are you sure it is not 5xm?

it is a triangle right?

Answer 2

Wow, two variables?

Assuming the sail is a triangle, the Area = 0.5 * base * height

We also know the height and the base already so plug these in:

x² + 5x + 6m² = 0.5 * base * (x + 3m)

(x² + 5x + 6m²) / 2 = base * (x + 3m)

base = [(x² + 5x + 6m²) / 2] / (x + 3m)

base = (x² + 5x + 6m²) / 2(x + 3m)

base = (x² + 5x + 6m²) / (2x + 6m)

Answer 3

B = base

Triangle area = half the base multiplied by the height

x^2 + 5x +6 = (x+3)(B)

Factorize: x^2 + 5x +6 = (x + 2)(x+3)

(x + 2)(x+3) / (x + 3) = x+ 2 = B

Answer 4

assuming that the sail is a rectangle?

Height x base = Area

(x+3m) x base = (x+2m)(x+3m)

base = x + 2m

If it is a triangle then

1/2 base x height = Area

1/2 base x (x+3m) = (x+2m)(x+3m)

base = 2(x+2m)