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A square painting has a diagonal of 44 in. Lorraine wants to frame the picture. How many inches of frame will she need? Round to the nearest inch. Enter your answer in the box.

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AustinMvp
The square has a diagonal of 44 inches.
In order to get the side, we need to use the pythagorean equation.

Diagonal (d) ^ 2 = side^2 + side ^ 2
Diagonal (d) ^ 2 = 2side (s)^2

d^2 = 2s^2
44^2 = 2s^2
1936 = 2s^2
2s^2 = 1936
s^2 = 968
s = 31.11 inches

The length of the side is approximately 31 inches.
Perimeter = 4*s
Perimeter = 4 * 31
Perimeter = 124 inches

So she need a total of 124 inches to frame the square.

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