Answer:
the height is 8 in and base is 22 inches
Step-by-step explanation:
area of a triangle = 1/2 base *height
let the height of the triangle be x
then the width or base = 2x+6
area = 88 in²= 1/2 (x)(2x+6)
88= 2/2(x)(x+3)
88= x² +3x
or x² +3x-88=0
applying mid term break formula
x² +11x-8x -88=0
x(x+11) -8(x+11)=0
(x+11)(x-8)=0 ⇒x= -11,8 (ignoring the negative value as it cannot have negative value)
height= x=8 in
bases= 2*8+6=16+6=22in
