I have to make 4 square dog pens fit into a 169 square meter yard.
the yard is square
whole numbers
If you square the yard it isn't whole numbers. 84.5
One of the pens is 24 square meters
Please help me begin.
13*13 = 169, so each side is 13m.
24 sq m = 6*4 or 8*3, but it is not a square.
Does that give you a start?
To begin, it's important to understand the constraints and requirements of the problem.
You have 4 square dog pens that need to fit into a 169 square meter yard. Each pen is a square, and one of the pens is already given as 24 square meters.
To solve this problem, we can start by figuring out the dimensions of the given pen and then the remaining space in the yard. From there, we can determine how to divide the remaining space to accommodate the other three pens.
Here's how you can approach it step by step:
1. Calculate the dimensions of the given pen:
Since the given pen is square with an area of 24 square meters, we can calculate the length of each side by finding the square root of the area. Thus, the side length of the given pen is √24 ≈ 4.899 meters (rounded to three decimal places).
2. Calculate the remaining area in the yard:
To determine the remaining area in the yard, subtract the area of the given pen (24 square meters) from the total yard area (169 square meters).
Remaining area = Total yard area - Area of the given pen
= 169 - 24
= 145 square meters
3. Divide the remaining area equally among the three remaining pens:
Since you want to divide the remaining space into three equal square pens, you can divide the remaining area by 3 to determine the area of each pen.
Area of each pen = Remaining area / 3
= 145 / 3
≈ 48.333 square meters (rounded to three decimal places)
Now you have the desired area (48.333 square meters) for each of the three pens that need to be placed in the yard. At this point, you can determine the dimensions (length of each side) for these pens by finding the square root of the area. Keep in mind that these calculations may result in decimal numbers, so you may need to round them to whole numbers based on the requirement for whole-number dimensions.
By following these steps, you should be able to determine the dimensions of each pen and properly fit all four pens into the 169 square meter yard.