Answer:
Width = 4 m
Length = 13m
Step-by-step explanation:
Let width = x
Length = 2x + 5
Area = 52 m²
length * width = 52
(2x + 5) * x = 52
2x *x + 5*x = 52
2x² +5x - 52 =0
2x² - 8x + 13x - 13*4 = 0
2x*(x - 4) + 13*(x - 4) = 0
(x - 4) (2x + 13) = 0
x - 4 = 0 {Ignore 2x + 13 = 0 as measurements will not be in negative}
x = 4 m
Width = 4 m
Length = 2*4 + 5 = 8+5 = 13m
