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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.

User AnotherOne
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1 Answer

6 votes
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.
User Dqm
by
6.1k points
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