Step-by-step explanation:
The first possibility
2(width) + 2(length) = perimeter
2(3x-3) + 2(length) = 10x+6
6x - 6 + 2(length) = 10x+6
2(length) = 4x + 12
length = 2x + 6
The second possibility.
rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
So you have the perimeter, P, can be found by doing u+u+v+v.
Simplifying gives:
P=2u+2v.
You are given the width is (3x-3). Choose this to be u or v but not both.
Perimeter is given a (10x+6).
Let's plug this in:
(10x+6)=2(3x-3)+2v
We are solving for v.
First step: Distribute where you can:
10x+6=6x-6+2v
Now we want to isolate v.
So we will need to subtract (6v-6) on both sides:
(10x+6)=2v
- (6x -6)
----------------------
4x+12 =2v
The right hand side contains a factor of 2.
The left hand side does too since 4x+12 can be factored as 2(2x+6).
2(2x+6)=2v
This implies v is 2x+6.
Let's check our work.
We have two sides with measurement 2x+6: (2x+6)+(2x+6)=4x+12
We have two sides with measurement 3x-3: (3x-3)+(3x-3)= 6x-6
Let's add those sums to find the perimeter: 10x+6
That is the intended
