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
Answer:
The correct answer is A) x = 2 and y = 6
Step-by-step explanation:
In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.
y - 1 = x + 3
y = x + 4
Now we can do the same with the leg lengths.
y - 3 = 2x - 1
y = 2x + 2
Now that we have two equations, we can set them equal to each other to get the x value.
x + 4 = 2x + 2
4 = x + 2
2 = x
Now that we have x, we can plug it into any equation to get the y value.
y = x + 4
y = 2 + 4
y = 6
You want the xs and the numbers on different sides.
2x-3x=-11-4
-x=-15
divide x by a -1
x=15
Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or,
= length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²)
= 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w = 
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer