Width; 5x
Length: 8x
Area: 9,000 sq meters
Equation:
Length × Width = Area
(8x) (5x) =9,000 meter²
40x = 9,000 meter²
40x²/40 = 9000 meter²/40
x² = 225 meter²
[tex] \sqrt{ x^{2} } = \sqrt{225 meter ^{2} } [/tex]
x = 15 meters
Dimensions of rectangular field:
Width: 5x = 5 (15) = 75 meters
Length: 8x = 8 (15) = 120 meters
ANSWER: The length of rectangular field is 120 meters.
Check:
Length x Width = 9000 meter²
(120 meter) (75 meter) = 9000 meter²
9000 meter² = 9000 meter²
Ratio of width to length ⇒ 75 : 120 or 5 : 8 (lowest term)