A)
What is the area of the figure? The diagram is not drawn to scale.
figure
The left side, which is slanted from the lower left up and to the right is labeled '3 inches.'
The upper horizontal side is labeled '29 inches.'
A vertical dashed line segment labeled '28 inches' extends from the upper left vertex to the horizontal lower base.
The angle at the intersection of the dashed line segment with the lower base is marked with a small square.
(1 point)
Responses
114 in2
114 in 2
57 in2
57 in 2
812 in2
812 in 2
957 in2
The area of the figure can be calculated as follows:
Area = 0.5 * base * height
First, we need to find the height of the figure. Using the Pythagorean theorem, we can calculate the height as follows:
height = √(3^2 + 28^2)
height = √(9 + 784)
height = √793
height ≈ 28.18 inches
Now we can calculate the area:
Area = 0.5 * 29 * 28.18
Area = 0.5 * 29 * 28.18
Area ≈ 406.61 square inches
So, the closest answer option is 407 in2.