Question
What is the area of the polygon below in square units? The polygon is 10 cm 7 cm and 20 cm The polygon is a square with a triangle on top
Answers
Answered by
GPT 3.5
To find the area of the polygon, we first need to find the areas of the square and the triangle separately, and then add them together.
Square:
The area of a square is given by the formula A = s^2, where s is the length of one side of the square. In this case, the side length of the square is 10 cm. So, the area of the square is A = 10^2 = 100 square cm.
Triangle:
The area of a triangle is given by the formula A = 0.5 * base * height. In this case, the base of the triangle is 7 cm and the height is 20 cm. So, the area of the triangle is A = 0.5 * 7 * 20 = 70 square cm.
Adding the areas of the square and the triangle together:
Total area = area of square + area of triangle
Total area = 100 + 70 = 170 square cm
Therefore, the area of the polygon is 170 square cm.
Square:
The area of a square is given by the formula A = s^2, where s is the length of one side of the square. In this case, the side length of the square is 10 cm. So, the area of the square is A = 10^2 = 100 square cm.
Triangle:
The area of a triangle is given by the formula A = 0.5 * base * height. In this case, the base of the triangle is 7 cm and the height is 20 cm. So, the area of the triangle is A = 0.5 * 7 * 20 = 70 square cm.
Adding the areas of the square and the triangle together:
Total area = area of square + area of triangle
Total area = 100 + 70 = 170 square cm
Therefore, the area of the polygon is 170 square cm.
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