An illustration shows a trapezoid with top side as 6 centimeters and bottom side as 10 centimeters. Two perpendicular dotted lines extend from the top vertices to the bottom side and are labeled 6 centimeters each. The two perpendicular lines are denoted by 4 right angle symbols.

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.

Question

Use the image to answer the question.

An illustration shows a parallelogram with top side as 10 centimeters. A perpendicular dotted line from top left vertex to the bottom side is 8 centimeters. The perpendicular line makes one right angle symbol with top side and two right angle symbols with the bottom side.

What is the area of the quadrilateral?
(1 point)
cm2

Answer 1

The area of the quadrilateral can be calculated using the formula for the area of a trapezoid:

Area = (1/2) * (sum of the lengths of the two parallel sides) * (perpendicular distance between them)

In this case, the lengths of the parallel sides are 10 cm and 6 cm. The perpendicular distance between them is 8 cm.

Therefore, the area of the quadrilateral is:
Area = (1/2) * (10 + 6) * 8
Area = (1/2) * 16 * 8
Area = 8 * 8
Area = 64 cm^2

So, the area of the quadrilateral is 64 cm^2.

Answer 2

no

Answer 3

Apologies for the mistake in my previous response.

Since the given shape is a parallelogram, we can use the formula for the area of a parallelogram:

Area = base * height

In this case, the base of the parallelogram is 10 cm and the height is 8 cm.

Therefore, the area of the quadrilateral is:
Area = 10 cm * 8 cm
Area = 80 cm^2

So, the area of the quadrilateral is 80 cm^2.