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maks197457 [2]
3 years ago
9

The diagram below shows the dimensions of Tessa’s garden.

Mathematics
1 answer:
Leona [35]3 years ago
8 0

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

z^{2}=\frac{x}{y}

we have that

If Tessa multiplies each dimension by 2, then the scale factor equals 2.

z=2

substitute

2^{2}=\frac{x}{y}\\\\ 4=\frac{x}{y}\\\\x=4y

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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