Question

You work for a company that builds custom wood furniture. the front of the roof of a doghouse you are designing is a triangle with side lengths of 4 feet, 2.1 feet, and 2.1 feet. What is the length of the triangular border on the front of the roof?

A. 4.2 feet
B. 6.1 feet
C. 8.2 feet
D. 8.4 feet
E.12.2 feet

Answer 1

To calculate the length of the triangular border on the front of the roof, add the lengths of all three sides: 2.1 feet + 2.1 feet + 4 feet, which equals 8.2 feet. Thus, the correct answer is 8.2 feet (option C) for the length of the border.

Step-by-step explanation:

The length of the triangular border on the front of the roof for a custom-built doghouse is determined by adding the lengths of its sides.


The roof is described as a triangle with two equal sides (isosceles triangle) with side lengths of 2.1 feet each, and a base of 4 feet.

To find the total length of the triangular border, we simply add up the lengths of all three sides:

• Side 1: 2.1 feet
  
• Side 2: 2.1 feet
  
• Base: 4 feet
  

Add these together: 2.1 + 2.1 + 4 = 8.2 feet. So, the length of the triangular border is 8.2 feet.

Therefore, the answer is C. 8.2 feet.