On the coordinate plane below rectangle ABCD is rotated 90° clockwise about the origin to form triangle WXYZ which statement abo
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Answer:
The answer to your question is length = 21.73 and width = 11.73
Step-by-step explanation:
Data
Total area = 255 ft²
length = x + 10
width = x
Formula
Area of a rectangle = length x width
Substitution
255 = (x + 10)(x)
Expand
255 = x² + 10x
Equal to zero
x² + 10x - 255 = 0
Solve with the quadratic formula
x =
x =
x =
x₁ = 11.73 x₂ = -21.73
There are no negative dimensions so the answer is 11.73.
Length = 11.73 + 10 = 21.73 ft