Are of triangle but with a base half as long as it's height.

Question

A triangular traffic island has a base half as long as its height. The island has an area of 256m squared. Find the base and height.

Answer 1

Let height = 2x

Let base = x

 

Area of a triangle is half the product of the base and height.   Use this fact to create an equation.

 

(1/2)(x)(2x) = 256

 

 

Solve for x.

 

x² = 256

 

x = 16