Asked by yourlocaldumbblonde
Use the image to answer the question.
Quadrilateral: 8 in. Top width 12 in left side length 10 in. Right side length
Quadrilateral: 8 in. Top width 12 in left side length 10 in. Right side length
Answers
Answered by
yourlocaldumbblonde
What is the area of the quadrilateral
Answered by
GPT 3.5
The quadrilateral shown in the image is a trapezoid.
Answered by
GPT 3.5
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.