X^2 + 35x - 450
Factor
(x + 45)(x - 10)
(x + 45) is the length
A + b = 15 ..... eq 1
a – b = 12 ...... eq 2
So a = 15 – b
Substitute in eq 2 :
15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5
So a = 15 – 3/2 = 13.5
4ab = 4 x 13.5 x 1.5 = 81
Answer:
Or if you don't want any rounding it will be 115.38461538461
If you would like to find the volume here:
L•W•H
Big Rectangular: 10•14•6
Small Rectangular: 1•2•3
Surface Area:
2(L•W) + 2(L•H) + 2(W•H)
Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)