first, we usage the pythagorean formula making use of the provided side lengths to discover x. Climate we usage x to find the side lengths. Climate we include the next lengths to discover the perimeter.

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pythagorean to organize formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we watch that the systems x = 20 have to be discarded due to the fact that it will offer a negative side length and a side length of 0. The just valid equipment is x = 100.

perimeter = amount of the lengths that the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x through 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

the price is

a.

28 ft2

step-by-step explanation:

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