Answer:
The base was 4 feet long.
Step-by-step explanation:
Hi there!
The area of the triangle is calculated using the following equation:
area = b · h / 2
Where:
b = base of the triangle.
h = height of the triangle.
We also know that the height is twice as long as the base, then:
h = 2 · b
With this information we can write a system of two equations with two unknowns:
16 ft² = b · h / 2
h = 2 · b
If we replace h by 2 · b in the first equation, we can solve the equation and obtain the value of the base:
16 ft² = b · (2 · b)/2
16 ft² = b²
√16ft² = √b²
4 ft = b
The base was 4 feet long.
Have a nice day!
