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?(1 point)
square feet
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To find the total area of Annika's design, we need to calculate the area of each shape separately and then add them together.
1. Rectangle:
Length = 12 feet
Width = 4 feet
Area = Length x Width
Area = 12 ft x 4 ft
Area = 48 square feet
2. Triangle:
Since it is a right triangle, we can use the formula: Area = (1/2) x base x height
Base (adjacent to rectangle) = 4 feet
Height = 4 feet
Area = (1/2) x 4 ft x 4 ft
Area = 8 square feet
3. Square:
Side length = 4 feet
Area = side length x side length
Area = 4 ft x 4 ft
Area = 16 square feet
Total area = 48 sq ft (rectangle) + 8 sq ft (triangle) + 16 sq ft (square) = 72 square feet
Therefore, the area of Annika's design is 72 square feet.