An illustration shows a labeled parallelogram. The lines on the top on the right and left sides extend past where the parallelogram ends. The left side is labeled Maple Street. The right side is labeled Oak Street. The base measures 45 meters. The label A is greater than 2,700 meters squared is placed inside of the parallelogram. A perpendicular dashed line is drawn from the top to bottom right corner and is labeled h. A park is being laid out in the shape of a parallelogram between Maple and Oak Streets, which are 45 meters apart. The park must have an area of at least 2,700 m². What is the solution of an inequality for the possible value of h, the height of the parallelogram?

Question

An illustration shows a labeled parallelogram. The lines on the top on the right and left sides extend past where the parallelogram ends. The left side is labeled Maple Street. The right side is labeled Oak Street. The base measures 45 meters. The label A is greater than 2,700 meters squared is placed inside of the parallelogram. A perpendicular dashed line is drawn from the top to bottom right corner and is labeled h. A park is being laid out in the shape of a parallelogram between Maple and Oak Streets, which are 45 meters apart. The park must have an area of at least 2,700 m². What is the solution of an inequality for the possible value of h, the height of the parallelogram?

A) h > 60 m
B)h < 60 m
C)h ≥ 60 m
D)h ≤ 60 m

Answer 1

A) h > 60 m

Explanation: The area of a parallelogram is given by the formula A = base x height. In this case, we are given that the base is 45 meters and the area is greater than 2,700 m². Therefore, A > 2,700 m² can be expressed as 45h > 2,700, which simplifies to h > 60. So the possible value of h, the height of the parallelogram, must be greater than 60 meters.