lifeofabe214
05.09.2020 •
Mathematics
The polynomial x^2 - 22x + 121 represents the area (in square feet) of a square courtyard. a.) write a polynomial that represents the side length of the courtyard. b.) Write an expression for the perimeter of the courtyard.
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Ответ:
Step-by-step explanation:
Since the court yard is square in nature, the area of the court yard will be exprerssed as;
A = Length * Length
A(x) = L²
Given area of the court yard A(x) = x^2 - 22x + 121
x^2 - 22x + 121= L²
Factorizing the quadratic expression
(x^2 - 11x) -(11x+ 121) = L²
x(x-11)-11(x-11) = L²
(x-11)(x-11) = L²
(x-11)² = L²
Square root both sides to the length of the courtyard
√(x-11)² = √L²
L = x-11
Hence the length of the courtyard is (x-11)ft
b) The perimeter of the courtyard P = 4L
P = 4(x-11)
P = 4x - 44
Hence an expression for the perimeter of the courtyard is 4x-44 feet
Ответ:
25
Step-by-step explanation:
It's Correct On Edge As Well :P