Use the image to answer the question.
An illustration shows a parallelogram. The top side, slanting downward, is 5 centimeters, and the right side is 25 centimeters. A dotted perpendicular line is drawn from top right vertex to the left side and is labeled as 4 centimeters. It is denoted by two right angle symbols formed with the two sides.
What is the area of the quadrilateral?
(1 point)
Responses
75 cm2
75 cm squared
100 cm2
100 cm squared
125 cm2
125 cm squared
80 cm2
80 cm squared
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To find the area of the quadrilateral, we can divide it into two triangles. The base of both triangles is 4 centimeters and the height is 5 centimeters for one triangle and 25 centimeters for the other triangle.
Area of first triangle = (1/2) * base * height
Area of first triangle = (1/2) * 4 cm * 5 cm
Area of first triangle = 10 cm^2
Area of second triangle = (1/2) * base * height
Area of second triangle = (1/2) * 4 cm * 25 cm
Area of second triangle = 50 cm^2
Total area of the quadrilateral = area of first triangle + area of second triangle
Total area = 10 cm^2 + 50 cm^2
Total area = 60 cm^2
Therefore, the area of the quadrilateral is 60 cm^2.