Answer:
Length = 36
Width = 52
Step-by-step explanation:
Area of rectangle = Length * width
Length = L ; Width = W
Area (A) = 1872 ft²
Ratio L:W = 9:13
Hence,
1872 = lw - - - (1)
l/w = 9/13 - - - (2)
From (2)
13l = 9w
l = (9/13)w - - (3)
Put (3) into (1)
1872 = (9/13)w * w
1872 = 9/13 w²
24336 = 9w²
24336 / 9 = w²
2704 = w²
w = 52
If w = 52
1872 = 52 * l
l = 1872 / 52
l = 36
Length = 36
Width = 52
