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Vinvika [58]
3 years ago
5

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square

inches.
What is the area of the new photograph?

_____in²
Mathematics
2 answers:
Step2247 [10]3 years ago
8 0
Your answer should have been 3850 in^2 

1^2/5^2 = 1/25

1/25 = 154/x
1x= 154 (25)
1x/1= 3850/1
x= 3850
tankabanditka [31]3 years ago
7 0

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.

Solution:

The photograph is being enlarged by a factor 5.

So, each dimension of the photograph is enlarged by 5

So, area is enlarged by 5^{2}

Or, Area is enlarged by a factor=5*5=25

So, the Area of enlarged photograph=5^{2} *Area of original photograph

Area of enlarged photograph=25*Area of original photograph

Area of enlarged photograph=25*154

On multiplying 25 by 154 we get 3850

Area of enlarged photograph=3850inches^{2}

Answer:

Area of new photograph=3850in^{2}

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From the two equations above, x and y can be solved as follows:

x + y = 52   - - - - - -(1)

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putting the value if x in equation (3) to replace x in equation (2);

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3.5(y) + 1.75(52 - y) = 112

3.5y + 91 - 1.75y = 112

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y = 12

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x = 52 - y    - - - - - - (3)

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