Question 491922
Area of triangle = 1/2 * base*height

Area = 1/2 * (x+16)(x+9)

130= 1/2 * x^2+25x+144

multiply by 2
260= x^2+25x+144
x^2+25x-116=0

x^2+29x-4x-116=0

x(x+29)_4(x+29)=0
(x-4)(x+29)=0
x= 4 OR -29.
Ignore negative value.
x= 4