se the image to answer the question.
An illustration shows a trapezoid with top side as 4 centimeters, and the left as the longest side of 9 centimeters. The opposite parallel side on the right is 6 centimeters. A diagonal bottom side is 5 centimeters. The top side is perpendicular to the left and right sides as denoted by right two angle symbols. A perpendicular dotted line from the bottom right vertex to the left side is drawn. The dotted line makes one right angle symbol with right side and two right angle symbols with the left side. It forms a right triangle at the bottom of the trapezoid, with the 5 centimeter side as the hypotenuse.
Find the area of the quadrilateral.
(1 point)
Responses
30 cm2
30 cm squared
60 cm2
60 cm squared
54 cm2
54 cm squared
24 cm2
The area of a trapezoid is calculated using the formula A = ((a+b) x h) / 2, where a and b are the lengths of the two parallel sides and h is the height of the trapezoid (perpendicular distance between the two parallel sides).
In this case, the two parallel sides are 9 cm and 6 cm (a=9, b=6) and the height is 4 cm.
Substitute these values into the formula:
A = ((9 + 6) x 4) / 2
A = (15 x 4) / 2
A = 60 / 2
A = 30 cm2
Therefore, the area of the quadrilateral is 30 cm2.
is it 54 cm 2
Apologies for the confusion. Let's reevaluate the calculation:
A = ((9 + 6) x 4) / 2
A = (15 x 4) / 2
A = 60 / 2
A = 30 cm2
Therefore, the correct area of the quadrilateral is indeed 30 cm2. Thank you for pointing that out.