Respuesta :

The length of one side of the canvas is approximately [tex]10.63 $ in$[/tex].

Because the canvas is a square, both its length and width should be the same. The area of a square is just the measure of a side, squared.

Since the area is given, [tex]113 $ in$^2[/tex], all you need to do is find a number that, when squared, is [tex]113[/tex].

You can find this number by taking the square root of [tex]113[/tex]. This will give you:

[tex] \sqrt{113} \approx 10.6301458 \approx 10.63[/tex]

...which is the approximate length of a side of the canvas.

The length of the side is [tex]$10.63$[/tex] inches.

Length of the side

The area of the square canvas is the square of its side length. The length of the side of the square canvas is [tex]$10.63$[/tex] inches.

The area the square canvas can hold is given as:

Area [tex]$=113 in^{2}$[/tex]

The canvas has a square as its shape, and the area of a square is:

Area [tex]$=L^{2}$[/tex]

Where L represents the length of the shape (i.e. the square canvas)

So, we have:

[tex]$L^{2}=113$[/tex]

Take square roots of both sides

[tex]$L=\sqrt{113}$[/tex]

Take the square root of 113

[tex]$L=10.63$[/tex]

Hence, the length of the side is [tex]$10.63$[/tex] inches.

To learn more about areas :

brainly.com/question/24487155

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