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2 years ago

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?

Mathematics

1 answer:

Lorico [155]2 years ago

3 0

Answer:

$\boxed{6912 units^2}$

Step-by-step explanation:

Hey there!

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

$\frac{3}{4}$ = $\frac{5184}{x}$

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

Hope this helps :)

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Find the area of the following figure. Explain how you found your answer.

iragen [17]

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

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2 years ago

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a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada

Aliun [14]

Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = $\frac{70}{100}$ × total number of shops

Or, c = $\frac{70}{100}$ × 60

∴ c = $\frac{70\times 60}{100}$

or, c = $\frac{4200}{100}$

or, c = 42

So, The number of stores in California = c =42

Again

The number of stores in Nevada = 30% of the total number of shops

I.e n = $\frac{30}{100}$ × total number of shops

Or, n = $\frac{30}{100}$ × 60

∴ n = $\frac{30\times 60}{100}$

or, n = $\frac{1800}{100}$

or, n = 18

So, The number of stores in Nevada = n = 18

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And The number of stores in Nevada 18 Answer

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3 years ago

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kirill115 [55]

Answer:

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Step-by-step explanation:

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3 years ago

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?​

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?