Answer:
20m square units
Explanation:
The area of a traingle = bh/2............... Equation 1
Where b = lenght of the base, h = heigt of the triangle.
From the question,
The area of triangle GHK = m square units., let the base and the heigth of the triangle be x and y respectively
Therefore,
b = x, h = y
Substitute these values into equation 1
m = xy/2................... Equation 2
If the height of the triangle increase to five times the current height, and the length of the base increase to four times the current length.
Therefore,
height of the larger triangle = 5y, base of the larger triangle = 4x
Substitute these values into equation 1
Area of the larger triangle = (5y×4x)/2
Area of the larger triangle = 20xy/2................. Equation 3
Substitute equation 2 into equation 3
Area of the new triangle = 20m square units.