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Find the areas of the figures below.

Find the areas of the figures below.-example-1

1 Answer

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Answer:

1. 158 unit^2

2. 225 cm^2

3. 303 unit^2

Explanation:

The first thing you should do is separate the figures by imaginary lines to form 2 or more rectangles (done in attachment).

1. You can see that the lowest line is 20 which is shared by both the rectangle A and B. The length of the smaller rectangle is 6 meaning that the length of rectangle A is 20-6=14

Now we need the breadth as the area is equal to l×b

To calculate the total area of the figure we have to add the areas of all rectangles. We have all the necessary details for the area of rectangle A so

A= 10×14= 140 unit^2

Now as cited earlier, we need all rectangle areas to find the Area of the figure. You can see that 10 is the breadth shared by both rectangles but 7 is only shared by bigger rectangles.

The breadth of smaller (rectangle B) is = 10-7=3

We have the length of rectangle b and breadth of rectangle b so:

A= 6×3=18 unit^2

Area of total figure=140+18= 158 unit^2

2. Find the length and breadth of both rectangles as I explained earlier.

We have all the details for triangle C so A= 18×7= 126 cm^2

16 m is shared by C and D and 7 is shared by only D so the share of the length of C= 16-7= 9cm

A= 9×11= 99 cm^2

T.A= 126+99=225 cm^2

3. 19 is shared by E and F and 9 is only shared by F so to find the breadth of E we can 19-9= 10 cm

We have all the details so A of E=10×15=150 unit^2

A of F= 9×17= 153 unit^2

T.A= 150+153= 303 unit^2

Find the areas of the figures below.-example-1
User Tomanizer
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