Width of the rectangle is 16 ft and length of the rectangle is 20 ft
Step-by-step explanation:
Step 1:
Given area of the rectangle = 320 ft². Let the width of the rectangle be x, then the length = x + 4. Use the formula for area of a rectangle = (length × width)
320 = x(x + 4)
320 = x² + 4x
x² + 4x - 320 = 0
x = (-b ±√b² - 4ac)/2a = (-4 ±√16 - 4×1×-320)/2
= (-4±√1296)/2 = (-4 ± 36)/2
= 32/2, -40/2 = 16, -20 (neglecting the negative value)
∴ Width of the rectangle = 16 ft
∴ Length of the rectangle = 16 + 4 = 20ft
