Question

The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school. The rest of the park will be turned into a lawn. What will the area of the lawn be?

Answer 1

sample response: First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.

Explanation:

Answer 2

You can have a lot of ways to solve this problem, but I'm going for solving for the lawn's area directly instead of solving the reserved section and subtracting it from the total area of the whole place.

First, cut the lawn so that it becomes two shapes: a rectangle, and a triangle. Solve for both areas.

A(r) = lw
A(r) = (14)(16)
A(r) = 224 square feet

A(t) = bh/2
A(t) = (8)(14) / 2
A(t) = 112 / 2
A(t) = 56 square feet

Add the two areas:

A(r) + A(t) = Area of lawn
224 square feet + 56 square feet = 280 square feet.

The area of the lawn, therefores, is 280 ft^2.