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

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

Answer 1

Let the height of the parallelogram be represented by h. The area of a parallelogram is given by the formula: Area = base x height. In this case, the base is 45 meters. So the area of the park is:

Area = 45h

Given that the park must have an area of at least 2,700 m^2, we can set up the following inequality:

45h ≥ 2700

Dividing both sides by 45, we get:

h ≥ 60

Therefore, the possible values for the height of the parallelogram must be greater than or equal to 60 meters in order for the park to have an area of at least 2,700 m^2.