Victoria V. answered • 08/06/18

Tutor

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Math Teacher: 20 Yrs Teaching/Tutoring Calculus, PreCalc, Alg 2, Trig

Hi Marwa.

Draw a square. The draw a line through the center of the square from one corner to the opposite corner. I wish I could draw this here for you...

What you end up with is 2 right triangles. And the diagonal is the hypotenuse.

Since a

^{2}+b^{2}=c^{2}, and we know that c=42.5, and that a=b (because the legs are sides of a square), so we can rewrite this asa

^{2}+a^{2}=(42.5)^{2}or

2a

^{2}=1806.25Divide both sides by 2

a

^{2}= 903.125And take the square root of both sides.

a=30.052

So each side of your square is 30.052, and the perimeter is all four sides added together.

The area is legth x width, = (a) x (a)

Mark M.

^{2}= 903.125.08/06/18