Kenneth S. answered • 02/28/18

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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

Kenneth S. answered • 02/28/18

Tutor

4.8
(62)
Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

the diagonals of a square are equal in length

4x-7=2x+11

4x-2x=11+7

2x=18

x=9

each diagonal is 4*9-7=29 feet or 2*9+11=29 feet

a diagonal of a square forms two right isosceles triangles, two 45-45-90 right triangles

the hypotenuse is always equal to the length of a side times √2

let s=length of any one of the sides

29=s√2

square both sides

841=2s^{2}

s^{2}=841/2

s=√(841/2)

s=29/√2

s=29√2/2 feet (you can find this by using the Pythagorean Theorem also)

P=4s is the formula for the perimeter of a square

P=4*(29√2/2)

P=2*29√2

P=58√2

P=58*1.414213

P=82.024354

P=82.0 feet rounded to tenths

You can eliminate the "square both sides" steps.

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