Question

You have three shapes in front of you. The square has a side length of 4 meters. The rectangle has a length of 3 meters and a width that is 1 meter more than its length. The triangle has a base of 10 meters and a height of 4 meters. What is the median area of these shapes, in square meters?

Answer 1

The median area of the three shapes—a square, a rectangle, and a triangle—is 16m², which corresponds to the area of the square with side lengths of 4 meters.

Step-by-step explanation:

The student asks for the median area of three shapes: a square, a rectangle, and a triangle. First, we calculate the area of each shape:

• Square: Area = side² = 4m x 4m = 16m²
• Rectangle: Area = length x width. The width is 1m more than its length of 3m, so width = 4m. Area = 3m x 4m = 12m².
• Triangle: Area = 1/2 x base x height = 1/2 x 10m x 4m = 20m².

The areas of the shapes are 16m² for the square, 12m² for the rectangle, and 20m² for the triangle. Arranging these in ascending order we have 12m², 16m², and 20m². The median area, which is the middle value, is 16m², which is the area of the square.