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What fraction of each of the following figures is the shaded part?
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Answers
Answer:
Given :
Rectangle ABCD,
In that E and F are the midpoints of side AB and CD respectively.
To find :
The area of the shaded region
Solution :
Refer the image for the figure and dimensions and formulas used for answering the question..
As it is given that E and F are the Midpoints of sides AB and CD respectively which means that it divided the side into two equal parts..
So in side AB
AE = 7cm ; EB = 7cm
And in side CD
CF = 7cm ; FD = 7cm
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To unravel this question, we'll first find the area of the rectangle ABCD and area of △ACF and △EFD, then we'll subtract the area of both the triangles from the total area of rectangle to get the area of the remaining shaded region...
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☆ Area of rectangle ABCD = 14 × 28 = 392cm^2
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☆ In △ACF,
\begin{gathered}Area = \frac{1}{2} \times 7 \times 28\\\end{gathered}
Area=
2
1
×7×28
= > 7 \times 14 = 98 {cm}^{2}=>7×14=98cm
2
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☆ In △EFD,
\begin{gathered} = > Area = \frac{1}{2} \times 7 \times 28\\\end{gathered}
=>Area=
2
1
×7×28
= > 7 \times 14 = 98 {cm}^{2}=>7×14=98cm
2
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Now we'll do our next step i.e. subtracting the area of rectangle from the areas of both the triangles..
= > 392 - 98 - 98 = 196=>392−98−98=196
Therefore, the area of the remaining shaded region is 196cm^2..
Hope it helped you..
Thank you !!
(i.) The figure is divided into total 8 parts. From them only 2 parts are shaded.
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(ii.) This figure is divided into total 10 parts. From them only 3 parts are shaded.
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(iii.) This figure is divided into total 12 parts. From them only 5 parts are shaded.
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(iv.) This figure is divided into total 13 parts. From them only 7 parts are shaded.
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Hope it helped you..
Thank you !!!