Mr. Lincoln is building a rectangular play area in the local park. The length of the play area is ninety-seven and one-half feet. The width of the play area is fifty-six feet. To keep children from falling on a hard surface, the play area will be covered with recycled tire rubber. Recycled tire rubber is sold by the square yard. How many square yards of recycled tire rubber will be needed for the play area? If the company will only sell complete square yards of recycled tire rubber, how much should Mr. Lincoln buy?
I am surprised your device does not have a numerical keypad.
length = 97.5 ft = 65/2 yards
width = 56 ft = 56/3 yards
area = (65/2)(56/3) yards^2 = 1820/3 yards^2 or 606 2/3 yards^2
So they have to buy a minimum of 607 square yards of covering
Actually, they will have to buy more than that.
Since the length is 32.5 yards, they will need 33 pieces to fill a row along
the length,
for the width of 18 2/3 yards, they will need 19 pieces along the width
So they need to buy 33*19 or 627 pieces
To find the total area of the play area, we need to multiply its length by its width.
The length of the play area is 97.5 feet and the width is 56 feet.
The area of the play area is equal to 97.5 feet * 56 feet.
To convert this area into square yards, we need to use the conversion factor: 1 square yard = 9 square feet.
So, the area in square yards would be (97.5 feet * 56 feet) / 9 square feet = 609 square feet / 9 square feet.
Simplifying, we get 67.67 square yards.
Since the company only sells complete square yards, Mr. Lincoln should buy 68 square yards of recycled tire rubber for the play area.
To find the number of square yards of recycled tire rubber needed for the play area, we need to calculate the area of the play area first.
The formula for finding the area of a rectangle is: length × width.
Given:
Length of the play area = 97.5 feet
Width of the play area = 56 feet
Area of the play area = 97.5 feet × 56 feet.
To make our calculations easier, let's convert the measurements to yards since the recycled tire rubber is sold by the square yard.
1 yard = 3 feet
Converting the length:
97.5 feet × (1 yard / 3 feet) = 32.5 yards
Converting the width:
56 feet × (1 yard / 3 feet) = 18.67 yards (approximately)
Now we can calculate the area of the play area in square yards:
Area = 32.5 yards × 18.67 yards
Area = 606.275 square yards (approximately)
Since the company only sells complete square yards of recycled tire rubber, Mr. Lincoln should buy 607 square yards of recycled tire rubber.