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ehidna [41]
3 years ago
9

For what value of x is the area of the rectangle greater than the perimeter? The base of the perimeter is x+2

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
If we call the area A, then A=7(x+2)=7x+14
if we call the perimeter P, then P=7*2+2(x+2)=2x+18
A>P
7x+14>2x+18
subtracting 14 gives 7x>2x+4
subtracting 2x gives 5x>4
dividing by 5 gives x>\frac{4}{5}
or x>0.8
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^^^^^^^^^^^^^^^^^^^^
tangare [24]

<u>Answer:</u>

The correct answer option is B. 21.

<u>Step-by-step explanation:</u>

We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring (5x).

Measure of angle K - N = 90° + 15° = 105°

Since angle K - N = angle M - L, we can write it as:

105° = 5x

x = 105/5

x = 21

Therefore, the correct answer option is B. 21.

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