Use the image to answer the question.
An illustration shows a trapezoid with the longer side on the left labeled as 12 inches. The opposite parallel side is 10 inches. Two perpendicular dotted lines extend from the vertices at either end of the 10 inch side to the longer side, and are labeled 8 inches. The two perpendicular lines are denoted by 4 right angle symbols.
What is the area of the quadrilateral?
To find the area of the quadrilateral, we need to divide it into two triangles and a rectangle.
First, we find the area of the rectangle:
Length = 12 inches
Width = 8 inches
Area = Length x Width
Area = 12 x 8
Area = 96 square inches
Next, we find the area of the two triangles:
Each triangle has a base of 10 inches and a height of 8 inches.
Area = 1/2 x base x height
Area = 1/2 x 10 x 8
Area = 40 square inches (for both triangles)
So, the total area of the quadrilateral is:
Area of rectangle + Area of triangles
96 + 40 = 136 square inches
Therefore, the area of the quadrilateral is 136 square inches.
That’s not right
My apologies for the mistake. Let me correct it.
To find the area of the trapezoid, we can use the formula:
Area = 1/2 * (sum of the lengths of the parallel sides) * height
In this case, the sum of the lengths of the parallel sides is 10 + 12 = 22 inches. The height is given as 8 inches.
Area = 1/2 * 22 * 8
Area = 11 * 8
Area = 88 square inches
Therefore, the correct area of the quadrilateral is 88 square inches.