Get expert advice and insights on any topic with IDNLearn.com. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.
Sagot :
To determine the dimensions of a square sports arena given its area, we begin with understanding the formula for the area of a square. The area [tex]\( A \)[/tex] of a square is calculated using the formula:
[tex]\[ A = \text{side}^2 \][/tex]
Given:
[tex]\[ A = 10,000 \, \text{m}^2 \][/tex]
To find the side length of the square, we need to solve for the side. This requires taking the square root of the given area. The side length [tex]\( s \)[/tex] can be found using the formula:
[tex]\[ s = \sqrt{A} \][/tex]
Substituting the given area into the formula:
[tex]\[ s = \sqrt{10,000} \][/tex]
Calculating the square root of 10,000:
[tex]\[ s = 100 \, \text{meters} \][/tex]
Therefore, the length of each side of the square sports arena is 100 meters.
Since a square has all four sides of equal length, the dimensions of the sports arena are:
[tex]\[ \text{Length} = 100 \, \text{meters} \][/tex]
[tex]\[ \text{Width} = 100 \, \text{meters} \][/tex]
Thus, the dimensions of the sports arena are [tex]\( 100 \)[/tex] meters by [tex]\( 100 \)[/tex] meters.
[tex]\[ A = \text{side}^2 \][/tex]
Given:
[tex]\[ A = 10,000 \, \text{m}^2 \][/tex]
To find the side length of the square, we need to solve for the side. This requires taking the square root of the given area. The side length [tex]\( s \)[/tex] can be found using the formula:
[tex]\[ s = \sqrt{A} \][/tex]
Substituting the given area into the formula:
[tex]\[ s = \sqrt{10,000} \][/tex]
Calculating the square root of 10,000:
[tex]\[ s = 100 \, \text{meters} \][/tex]
Therefore, the length of each side of the square sports arena is 100 meters.
Since a square has all four sides of equal length, the dimensions of the sports arena are:
[tex]\[ \text{Length} = 100 \, \text{meters} \][/tex]
[tex]\[ \text{Width} = 100 \, \text{meters} \][/tex]
Thus, the dimensions of the sports arena are [tex]\( 100 \)[/tex] meters by [tex]\( 100 \)[/tex] meters.
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.