Problema Solution

A triangular traffic island has a base half as long as its height. The island has an area of 225m squared. Find the base and the height

Answer provided by our tutors

Let

b = the base

h = the height

The base is half as long as the height means:

b = h/2

The area is 225 m^2 means:

(1/2)bh = 225

Plug b = h/2 into (1/2)bh = 225:

(1/2)(h/2)h = 225

........

click here to see the equation solved for h

........

h = 30 m

b = 30/2

b = 15 m

The base is 30 meters long while the height is 15 meters long.