Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm
How to calculate the area of a composite figure?
Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
The missing image is attached below.
We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.
Area of the figure = Area of the top square + Area of the bottom rectangle.
- Finding area of the top figure ABCD:
Length of AE = |AE| = 16 cm
|AE| = |AD| + |DE| = 16
|DE| = |GF| = 8 cm
Thus, we get:
|AD| + 8 = 16
|AD| = 8 cm
Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.
Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]
- Finding area of the bottom figure DEFG:
Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:
|DE| = |GF| = 8 cm
|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches
Thus, its a rectagle with dimensions of 8 cm by 16 cm.
Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]
Thus, area of the composite figure = 16 + 96 = 112 sq. cm.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ1
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
