Answer:
The width of the base is 2.828 feet
Explanation:
Given the area of the table top is 4 square feet
The triangular table top is twice as high as it is wide at the base
Therefore, we can say that height = base
Area of a right angled triangle is calculated by, Area = ½ * base * height
In this case, height = base
Therefore, area =[tex]\frac{1}{2}\times (base)^2[/tex]
Substituting the values,
4 = [tex]\frac{1}{2}\times (base)^2[/tex]
[tex](base)^2[/tex] = 8
Base = 2√2 = 2 * 1.414 = 2.828 feet
Therefore, the width of the base is 2.828 feet
