Answer:
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
Step-by-step explanation:
Ratio of the width to the length is 1:5
So, let
Width = x
and length = 5x
Area of the rectangle = 125
[tex]x \times 5x = 125 \\ \\ 5 {x}^{2} = 125 \\ \\ {x}^{2} = \frac{125}{5} \\ \\ {x}^{2} = 25 \\ \\ x = \sqrt{25} \\ \\ x = 5 \: ft \\ \\ 5x = 5 \times 5 = 25 \: ft[/tex]
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
The length and the width of the rectangle are 25 ft and 5 ft respectively.
The area of a rectangle can be found by using the following formula:
Area = length * width
Let the constant be x, therefore the length is 5x and the width is x.
Area = length * width
125 = 5x*x
⇒125 = 5x²
⇒x² = 25
⇒x = √25
⇒x = 5
We can substitute the value of x to find the length and the width:
Length = 5x = 5*5 = 25 ft
Width = x = 5 ft
Thus, we have found the length and width of the rectangle to be 25 ft and 5 ft.
Learn more about the area of rectangles here: https://brainly.com/question/25292087
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