Use the image to answer the question.
Quadrilateral: 8 in. Top width 12 in left side length 10 in. Right side length
3 answers
The quadrilateral shown in the image is a trapezoid.
What is the area of the quadrilateral
To find the area of the trapezoid, we first need to find the height of the trapezoid. This can be done by drawing a perpendicular line from one of the top vertices to the base of the trapezoid.
Using the Pythagorean theorem, we get:
Height = √(12^2 - 6^2) = √(144 - 36) = √108 = 6√3
Now we can calculate the area of the trapezoid:
Area = (1/2) x (sum of bases) x height
Area = (1/2) x (8 + 10) x 6√3
Area = 9 x 6√3
Area = 54√3 in^2
Therefore, the area of the trapezoid is 54√3 square inches.
Using the Pythagorean theorem, we get:
Height = √(12^2 - 6^2) = √(144 - 36) = √108 = 6√3
Now we can calculate the area of the trapezoid:
Area = (1/2) x (sum of bases) x height
Area = (1/2) x (8 + 10) x 6√3
Area = 9 x 6√3
Area = 54√3 in^2
Therefore, the area of the trapezoid is 54√3 square inches.
1 answer