The length of the base of the triangle is 5/4 meters.
How to get length of the base
Area = (1/2) * base * height
Given information: The area is one-quarter square meters (1/4) and the height is 2/5 meters.
Solving for the base:
Area = 1/2 * base * height
1/4 = 1/2 * base * 2/5
Divide both side with 4.
1 = 2 * base * 2/5
Multiply side with 5/2
1 * (5/2) = 2 * base * (2/5) * (5/2)
(5/2) = base * 2
(5/2) / 2 = base
(5/2) / 2 = base
Base = 5/4.
Note: The full question is attached below