Question

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A composite shape is made up of a rectangle, triangle, and square. A horizontally aligned rectangle has a length of 12 feet and width of 4 feet. A right triangle adjoins the rectangle on the right side, with the vertical side common to the rectangle. A square with a side of 4 feet adjoins the right triangle along the bottom. Right angle marks are located in the four corners of the rectangle and the square, and also in the triangle where the base and vertical side meet.

Annika designs a hole for a miniature golf course. What is the area of Annika’s design in square feet?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The area of Annika's design can be calculated by finding the area of each individual shape and then adding them together.

The rectangle:
Area = length x width
Area = 12 feet x 4 feet = 48 square feet

The triangle:
Area = 1/2 x base x height
Height is the same as the height of the rectangle, which is 4 feet
Base is the same as the width of the rectangle, which is 4 feet
Area = 1/2 x 4 feet x 4 feet = 8 square feet

The square:
Area = side x side
Area = 4 feet x 4 feet = 16 square feet

Now add the areas of the rectangle, triangle, and square together:
48 square feet + 8 square feet + 16 square feet = 72 square feet

Therefore, the total area of Annika's design is 72 square feet.