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Vlad [161]
3 years ago
8

a photo album contains small and large photographs. Each large photograph has side lengths that are twice the side lengths of ea

ch small photograph. the area of each small photograph is 24 square inches. what is the area of each large photograph? Explain.
Mathematics
2 answers:
zysi [14]3 years ago
4 0
Take the area of the small photograph and divide it by four, assuming it's a square, each side would then be 6 inches. The large photograph has double the side length of the small one, so 6 multiplied by 2 is 12. To find the area of the large (square) photograph, multiply 12 by 12 as two of the sides, and the area of the large photo is 144 square inches
juin [17]3 years ago
4 0

Answer:

Area of each large photograph = 48inches²

Step-by-step explanation:

Having photo album containing small and large photograph.

We are given that.

Each length of large photograph = twice of each length of the small photograph and area of the small picture = 24inches²

As we know a photograph is either in rectangular shape or square.

Therefore:

Area = length x breath

Area of small = length x breath

Area of small = 24inches²

Recall that, Length of each side of large photograph = 2 x Length of each side of small photograph

I.e if Area of small = length x breath

Area of large will be = 2*length x 2*breath

Area of large = 2(length x breath)

where the length x breath = area of small photograph = 24inches²

Therefore

Area of large photograph = 2(24inches²)

Area of large photograph = 48inches²

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Given:

\bold{t_2=5}\\\\\bold{t_8=15}\\\\

To find:

\bold{T_n=?}\\\\\bold{S_{10}=?}

Solution:

\to \bold{t_2=5}\\\\  \bold{a+d=5} \\\\  \bold{a=5-d} ................(i)\\\\ \to \bold{t_8=15}\\\\ \bold{a+ 7d=15}.................(ii)\\\\

Putting the equation (i) value into equation (ii):

\to \bold{5-d+7d=15}\\\\\to \bold{5+6d=15}\\\\\to \bold{6d=15-5}\\\\\to \bold{6d=10}\\\\\to \bold{d=\frac{10}{6}}\\\\\to \bold{d=\frac{5}{3}}\\\\

Putting the value of (d) into equation (i):

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Formula:

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Therefore, the final answer is  " \bold{\frac{5}{3}(1+n)\ and\ 108.33}"

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