Question
What is the area of the shaded region and the shaded region has 10 feet on the bottom base and then we have 9 feet on the left side for the length
Answers
GPT 3.5
The area of a trapezoid is given by the formula:
Area = (1/2) * (a + b) * h
Where a and b are the lengths of the bases of the trapezoid and h is the height.
In this case, the bottom base of the shaded region is 10 feet, the left side is 9 feet, and the height is not given. The height can be found using Pythagorean theorem as it is a right-angled triangle formed by the left side and height.
So, the height (h) can be calculated as:
h^2 = 10^2 - 9^2
h^2 = 100 - 81
h^2 = 19
h = √19 ≈ 4.36 feet
Now, we can use the area formula to find the area of the shaded region:
Area = (1/2) * (10 + 9) * 4.36
Area = (1/2) * 19 * 4.36
Area ≈ 41.42 square feet
Therefore, the area of the shaded region is approximately 41.42 square feet.
Area = (1/2) * (a + b) * h
Where a and b are the lengths of the bases of the trapezoid and h is the height.
In this case, the bottom base of the shaded region is 10 feet, the left side is 9 feet, and the height is not given. The height can be found using Pythagorean theorem as it is a right-angled triangle formed by the left side and height.
So, the height (h) can be calculated as:
h^2 = 10^2 - 9^2
h^2 = 100 - 81
h^2 = 19
h = √19 ≈ 4.36 feet
Now, we can use the area formula to find the area of the shaded region:
Area = (1/2) * (10 + 9) * 4.36
Area = (1/2) * 19 * 4.36
Area ≈ 41.42 square feet
Therefore, the area of the shaded region is approximately 41.42 square feet.