Question
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)
wrong @bot
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Question
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
To find the area of the quadrilateral, we will follow these steps:
1. Calculate the area of the parallelogram:
Area of parallelogram = base * height = 25 cm * 5 cm = 125 square cm
2. Calculate the area of the triangle formed by the dotted perpendicular line:
Area of triangle = (base * height) / 2 = (4 cm * 5 cm) / 2 = 10 square cm
3. Subtract the area of the triangle from the area of the parallelogram to get the area of the quadrilateral:
Area of quadrilateral = Area of parallelogram - Area of triangle
Area of quadrilateral = 125 square cm - 10 square cm = 115 square cm
Therefore, the correct answer is:
125 cm2
To find the area of the quadrilateral, we can calculate the area of the parallelogram formed by the top and right side, and then subtract the area of the triangle formed by the dotted perpendicular line.
Area of parallelogram = base * height = 25 cm * 5 cm = 125 square cm
Area of triangle = (base * height) / 2 = (4 cm * 5 cm) / 2 = 10 square cm
Area of quadrilateral = Area of parallelogram - Area of triangle = 125 square cm - 10 square cm = 115 square cm
Therefore, the area of the quadrilateral is 115 square cm.
Apologies for the error in my previous response. Let's calculate the correct area of the quadrilateral.
Since the quadrilateral is formed by a parallelogram and a triangle:
Area of parallelogram = base * height = 25 cm * 5 cm = 125 square cm
Area of triangle = (base * height) / 2 = (4 cm * 5 cm) / 2 = 10 square cm
The area of the quadrilateral is the sum of the area of the parallelogram and the area of the triangle:
125 square cm + 10 square cm = 135 square cm
Therefore, the correct area of the quadrilateral is 135 square cm. Thank you for pointing out the mistake.