A rectangular playground has an area of 2,996 square yards.if the width of the rectangle is 28,what is the length?

Part#1
What is the area of the rectangle in square feet? Part#2

28 yards x L = 2996 yards squared; solve for L;

Every 1 square yard = 9 square feet.

2996 x 9 = ?

Part #1:

To find the length of the rectangular playground, we can use the formula for the area of a rectangle: Area = Length x Width. Given the area of 2,996 square yards and the width of 28 yards, we can substitute these values into the formula and solve for the length.

Area = Length x Width
2,996 = Length x 28

To find the length, we can divide both sides of the equation by 28:

Length = 2,996 / 28
Length ≈ 107 yards

Therefore, the length of the rectangular playground is approximately 107 yards.

Part #2:
To find the area of the rectangle in square feet, we need to convert the given area from square yards to square feet.

1 yard = 3 feet

The conversion factor is 3 feet per yard, so to convert from square yards to square feet, we square the conversion factor:

1 yard * 3 feet/yard = 3 feet
(3 feet)² = 9 square feet

Therefore, there are 9 square feet in one square yard.

Now, to find the area of the rectangle in square feet, we can multiply the area in square yards (2996 square yards) by the conversion factor:

Area in square feet = 2,996 square yards * 9 square feet/square yard
Area in square feet = 26,964 square feet

Therefore, the area of the rectangle in square feet is 26,964 square feet.