The diagram below shows the dimensions of Tessa’s garden.
1 answer:
Answer:
Tessa's mistake was to have multiplied each dimension by two instead of multiplying by a square root of two.
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z -----> the scale factor
x ----> the area of the enlarged garden
y ----> the area of the original garden
we have that
If Tessa multiplies each dimension by 2, then the scale factor equals 2.
substitute
The area of the enlarged garden will be equal 4 times the area of the original garden
so
If Tessa wanted to have twice as much surface, she must multiply each dimension by a square root of 2.
therefore
Tessa's mistake was to have multiplied each dimension by two instead of multiplying by a square root of two
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The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
RQ = 3x+2 ,QN = 2x and SM=3x
In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.
The centroid of the triangle divides each median in the ratio 2:1
RQ/QN = 2/1
(3x+2)/2x = 2/1
After solving:
3x + 2 = 4x
x = 2
Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
Learn more about the triangle here:
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