Answer:
base= 5 in
height = 12 in
Step-by-step explanation:
Area = base x height
Base = b
Height = b+7
So:
60= b ( b+7)
60 = b^2 +7b
0 = b^2 +7b -60
- Applying quadratic formula:
a= 1 ; b=7 ; c=-60
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
x =[ -7 ± √(7)²-4(1)-60] /2(1)
x = [ -7 ± √49 +240] /2
x = [ -7 ± √289] /2
x = [ -7 ± 17] /2
Positive:
x = [ -7 +17] /2 = 5
So:
b= 5 in ( base)
Height = b+7 = 5+7 = 12 in
Feel free to ask for more if needed or if you did not understand something.
