Question

Immanuel is building a fence to make an enclosed play area for his dog. The enclosed area will be in the shape of a triangle with a base of 48m and an altitude of 32m. How much space does the dog have to play?

Answer 1

The area (A) of a triangle is given by the formula

$A=\dfrac{1}{2}bh$

where b is the length of the base (48 m) and h is the altitude (32 m). Filling in the numbers, we compute the area to be

$A=\dfrac{1}{2}\cdot (48\,m)\cdot (32\,m)=768\,m^2$

The dog's play space is 768 square meters.