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jeka94
4 years ago
8

What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?

Mathematics
1 answer:
sergiy2304 [10]4 years ago
6 0
In the given question the length and width of the plot are already given. although there is no direct specification regarding the one that is length or the one that is the width, so it can be taken as your own choice. This will not affect the ultimate answer. 
So
Area of the rectangular plot = Length * Width
                                             = 11.7 * 15.4 square cm
                                             = 180.18 square cm
So the area of the rectangular plot as can be seen from the above deduction is 180.18 square centimeter.
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Given the figure with lengths LO=5 and OK=4. we have to find the length of  OH and KH.

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By Pythagoras theorem

LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2 → (1)

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KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2  → (2)

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KL^2=LH^2+KH^2

Using eq (1) and (2), we get

KL^2=5^2+OH^2+OH^2+4^2

9^2=25+2OH^2+16

⇒ 2OH^2=81-25-16=40

⇒ OH=\sqrt{20}=6.324\sim6.3units.

Put the above value in eq 2, we get

KH^2=20+4^2=36

⇒ KH=6 units.

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