Question
Use the image to answer the question.
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?(1 point)
square feet
To find the area of Annika's design, we need to calculate the areas of the rectangle, triangle, and square, and then add them together.
The area of a rectangle is found by multiplying its length by its width. In this case, the rectangle has a length of 12 feet and a width of 4 feet, so its area is 12 * 4 = 48 square feet.
The area of a triangle is found by multiplying half the base by the height. In this case, the base is the length of the rectangle, which is 12 feet, and the height is the width of the rectangle, which is 4 feet. So the area of the triangle is (1/2) * 12 * 4 = 24 square feet.
The area of a square is found by multiplying the length of one side by itself. In this case, the side of the square is 4 feet, so the area of the square is 4 * 4 = 16 square feet.
Now, we just need to add up the areas of the rectangle, triangle, and square. So the total area of Annika's design is 48 + 24 + 16 = 88 square feet.