Question

The height of a triangular sail is 2 meters less

than twice the length of the base. If the sail
has an area of 30 square meters, find the
length of its base and the height.
Pleas provide quadratic Formula

Answer 1

Explanation:

Area=1/2(bh)

b=x

height=2x-2, units meters

30=(1/2)bh

60=bh=x(2x-2)

2x^2-2x=60

2x^2-2x-60=0

x^2-x-30=0

(x-6)(x+5)=30

x=6 as only positive root.

2x-2=10

Their product is 60 m^2, half of which is 30 m^2

The base is 6 m; the height is 10 m.