Let
x---------> the length of the rectangle
y--------> the width of the rectangle
we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=12
x=y-5-----> x=12-5-----> x=7
the answer isthe length of the rectangle is 7 ftthe width of the rectangle is 12 ft
I believe the answer is the first one because it’s congruent
Total value of ratio = 4+3+1 = 8
value of 1 unit = 64/8 = 8
numbers are 4(8), 3(8), 1(8) = 32, 24, 8
so, the greatest number is 32
The answer is C. y=1/4 x + 9
Hope this helps