The horse of the rectangle and the square are the same and equal to 144 macaws. the width of the rectangle is 30 m.

The horse of the rectangle and the square are the same and equal to 144 macaws. the width of the rectangle is 30 m. Less than the length of the side of the square. What is the length of the rectangle.

First, let’s introduce some variables and transfer the text of the problem in a mathematical way:
Let the side of the square be x (m),
the length of the rectangle will be equal to y (m),
the width of the rectangle will be z (m)
1 ar = 100m ^ 2, that is, 144 ara = 144 * 100 = 14400m ^ 2
By condition, the areas of a square and a rectangle are equal, that is:
Squad = S straight or x ^ 2 = yz = 14400m ^ 2
1) The side of the square is x = √ (14400m ^ 2) = 120m
2) The width of the rectangle is equal to y = 120m-30m = 90m
3) Based on the formula for the area of a rectangle, we find the unknown side: z = 14400m ^ 2: 90m = 160m
Answer: 160 meters