Question

The infield of a baseball diamond is in the shape of a rhombus An infield cover with dimensions of 85 feet by 100 feet is used to protect the field during rainy weather. Will the cover protect the entire infield? Explain.​

Answer 1

An infield cover with dimensions of 85 feet by 100 feet will protect the entire infield of a baseball diamond because it has a larger area (8500 square feet) than the infield itself (8100 square feet).

Step-by-step explanation:

To determine if the infield cover of a baseball diamond, with dimensions of 85 feet by 100 feet, will protect the entire infield, which is a rhombus, we need to consider the area of the rhombus. A baseball diamond is a square (which is a special case of a rhombus) with 90-foot sides.

Therefore, the area of a baseball diamond infield is 90 feet × 90 feet = 8100 square feet. The area of the infield cover is 85 feet × 100 feet = 8500 square feet. Since the area of the cover is more than the area of the infield, the cover will protect the entire infield.