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Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

What were the dimensions of the original photo?
pls hurry

4 inches by 4 inches
6 inches by 6 inches
10 inches by 10 inches
12 inches by 12 inches

Respuesta :

absor201

Answer:

The correct answer is:

6 inches by 6 inches

Step-by-step explanation:

Given that

Area of Enlarged photo = 256 square inches

Let x be the side of original photo

then the equation for area of new enlarged photo will be:

[tex](x+10)^2 = 256[/tex]

We have to solve the given equation to find the side length of original photo

Taking square root on both sides

[tex]\sqrt{(x+10)^2} = \sqrt{256}\\x+10 = 16[/tex]

Subtracting 10 from both sides

[tex]x+10-10 = 16-10\\x = 6[/tex]

So the side length of original photo is 6 inches. The dimensions will be 6 inches by 6 inches.

Hence,

The correct answer is:

6 inches by 6 inches

wardjoya3

Answer:

Its B on edge 2021

Step-by-step explanation:

Just took a test

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