Answer:
Length: 430
Width: 100
Step-by-step explanation:
Length : x
Width: x - 330
Area = 43000
Area = length * width
43000 = x (x - 330)
43000 = x² - 330x
x² - 330x - 43000 = 0
x² - 430x + 100x - 43000 = 0 // Doing factorization
x (x - 430) + 100 (x - 430) = 0
(x+100)(x-430) = 0
x + 100 = 0
x = -100 (Since the length can not be negative)
x - 430 = 0
x = 430(This is the length)
Width: x - 330 = 430 - 330 = 100
Proof : 430 * 100 = 43000
