Find the length of the base, x, if the height is x + 1 and the area is 15 m2?

Answer 1

Is it a triangle?

(1/2)x(x+1) = 15

x(x+1) = 30

x^2 + x - 30 = 0

(x + 6)(x - 5 ) = 0

x=-6 is disqualified

x=5

triangle base 5 height 6

rectangle:

x(x+1) = 15

x^2 + x - 15 = 0

x = [-1 +or- sqrt( 1 - 4(1)(-15)] / 2

x = [ sqrt(61)-1] / 2

height is [ sqrt(61) + 1]/2