Find the length x if the shaded area is 198 in2 SolutionThe

Find the length x if the shaded area is 198 in^2.

The figure can be divide ito two rectangles:

Rect1 ---x*(14+x)

Rect2 ---- x*(13)

So, total ares: x(14+x) +x*13 = 198

x^2 +14x +13x = 198

x^2 +27x -184 =0

solve the quadratic equation

x= (-27 +/- sqrt(27^2 +4*184)/2

x = -32.64 inch; x= 5.6 inch

Neglect -ve value: x= 5.6 inch