Area and Perimeter Online Practice

Question

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Question
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An illustration shows a polygon where the top, right, and bottom sides are perpendicular to each other. The top left side extends upward to form a polygon. The dimensions are as follows: the right side is 4 centimeters, the bottom is 10 centimeters, and the extended left side is 7 centimeters. The horizontal top of the extended

 What is the area of the composite figure in square centimeters?

(1 point)
Responses

49 square centimeters
49 square centimeters

40 square centimeters
40 square centimeters

61 square centimeters
61 square centimeters

21 square centimeters
21 square centimeters

Answer 1

To find the area of the composite figure, we need to break it up into two rectangles and find the total area.

First rectangle:
- Length = 4 cm (right side)
- Width = 7 cm (extended left side)
Area = Length x Width = 4 cm x 7 cm = 28 square cm

Second rectangle:
- Length = 10 cm (bottom)
- Width = 4 cm (extended top)
Area = Length x Width = 10 cm x 4 cm = 40 square cm

Total area = Area of first rectangle + Area of second rectangle
Total area = 28 square cm + 40 square cm = 68 square cm

Therefore, the area of the composite figure is 68 square centimeters.