Patrick B. answered 09/26/19
Math and computer tutor/teacher
(1/2) (Base) (Height) = AREA
(1/2)(2h-7)h = 50
(2h-7)h = 100 <--- multiplies by 2
2h^2 - 7h = 100 <--- distributive
2h^2 - 7h - 100 = 0
h = (7 +or- sqrt( 49 - 4*2*-100))/4
= (7 +or- sqrt( 49 + 800))/4
= (7 + sqrt(849)) / 4
B = 2h - 7
= (7+sqrt(849))/2 - 7
= (7 + sqrt(849) - 14)/2
= (sqrt(849) - 7)/2
(1/2) (sqrt(849)-7)/2 ( 7+ sqrt(849))/4
= (Sqrt(849) - 7) ( sqrt(849)+7) / 16
= (849 - 49)/ 16 = 800/16 = 50