Use the image to answer the question.
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.
What is the area of the quadrilateral?
___cm2
Thank you for providing additional information. Yes, with the height of the trapezoid being 6 cm, the area would be calculated as:
(6 + 10) / 2 x 6 = 48 cm²
Therefore, the area of the quadrilateral is 48 cm².
To find the area of the quadrilateral, we need to use the formula for the area of a trapezoid. The formula is:
Area = ((a+b)/2) * h
Where a and b are the lengths of the top and bottom sides of the trapezoid, and h is the height of the trapezoid (the distance between the parallel sides).
From the given information in the illustration, we can determine that the top side (a) of the trapezoid is 6 centimeters and the bottom side (b) is 10 centimeters. The height (h) is also given as 6 centimeters.
Plugging these values into the formula:
Area = ((6 + 10)/2) * 6
= (16/2) * 6
= 8 * 6
= 48 cm^2
Therefore, the area of the quadrilateral is 48 square centimeters.
We cannot determine the area of the quadrilateral without knowing the height or the length of the slanted sides.
clearly, the height of the trapezoid is 6. So the area is
(6+10)/2 * 6 = 39