A rectangular playground is 800 feet long and 400 feet wide. If fencing costs P 560.00 per yard, how much is the cost to place fencing around the playground? with solution and answer.
To find the cost of placing fencing around the playground, we need to calculate the total perimeter of the playground and then convert it to yards.
The perimeter of a rectangle is given by the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given:
Length of the playground (l) = 800 feet
Width of the playground (w) = 400 feet
Substitute the given values into the formula to find the perimeter:
P = 2(800 + 400)
P = 2(1200)
P = 2400 feet
Now, we need to convert the perimeter from feet to yards, as the cost of fencing is given per yard. Since 1 yard is equal to 3 feet, we divide the perimeter by 3 to convert it to yards:
P_yards = P / 3
P_yards = 2400 / 3
P_yards = 800 yards
The cost of fencing per yard is given as P 560.00. To find the total cost, we multiply the number of yards by the cost per yard:
Cost = P_yards * cost per yard
Cost = 800 * 560.00
Cost = P 448,000.00
So, the cost to place fencing around the playground is P 448,000.00.
i do not understand its my older brother he dared me to answer his homework
the perimeter is in feet, so divide by 3 to get yards.
Then multiply the yards by the price per yard to get the cost