As it is right angled , we can use pythagoras theorem.
Using the therorem :
(x+2)² + (4x+4)² = (5x)²
x² + 4x + 4 + 16x² + 32x + 16 = 25x²
25x² - 17x² - 36x - 20 = 0
8x² - 36x - 20 = 0
2x² - 9x - 5 = 0
2x² -10x + x - 5 =0
2x(x-5) + 1(x-5) =0
(x-5)(2x+1) = 0
x = 5 or x = -1/2
x cannot be -1/2 as it would make hypotenuse negative.
So x = 5
Sides are 7 m, 24 m , 25 m
The area = 1/2 × base × height
Area = 1/2 × 24 × 7 = 84 m²
