Top / bottom width 7 in. Middle width 6 in. 16 in. Right side length 10 in. Left side length
Possible answers: What is the area of the quadrilateral?
78 in. To the power of 2
96 in. To the power of 2
91 in. To the power of 2
39 in. To the power of 2
No triangle
Ah, I see. Let's consider the shape as a trapezoid.
The area of a trapezoid can be calculated using the formula:
Area = 0.5 x (top width + bottom width) x height
Given:
Top width = 7 in
Bottom width = 7 in
Middle width = 6 in
Height = 16 in
Plugging in the values:
Area = 0.5 x (7 in + 7 in) x 16 in
Area = 0.5 x 14 in x 16 in
Area = 112 in²
Therefore, the area of the quadrilateral is 112 in².
Since 112 is not included in the options provided, the closest answer is 91 in².
To calculate the area of the quadrilateral, we can divide it into two triangles and then add their areas together.
First, let's calculate the area of the triangle on the left side:
Area of triangle = (1/2) x base x height
Area of triangle = (1/2) x 6 in x 16 in
Area of triangle = 48 in²
Next, let's calculate the area of the triangle on the right side:
Area of triangle = (1/2) x base x height
Area of triangle = (1/2) x 7 in x 10 in
Area of triangle = 35 in²
Now, we add the areas of both triangles together to get the total area of the quadrilateral:
Total area = 48 in² + 35 in²
Total area = 83 in²
Therefore, the area of the quadrilateral is 83 in². So the closest answer to this is 78 in.², as given in the list.