Question

The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 4 feet more than twice its height. If the area of the triangle is 48 square feet,
determine the length of the base and the height of the triangle in feet.
Height

Answer 1

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let b represent the base of the triangle and h is the height, hence:

b = 2h + 4       (1)

Also, the area of the triangle is 48 square feet:

48 = (1/2)bh

96 = bh

(2h + 4)h = 96

2h² + 4h - 96 = 0

h = 6

b = 2(6) + 4 = 16

The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1