SOLUTION: A rectangle’s perimeter and it’s area have the same numerical value. The width of the rectangle is 3 units. What it the length of the rectangle in units?

Question 1158665: A rectangle’s perimeter and it’s area have the same numerical value. The width of the rectangle is 3 units. What it the length of the rectangle in units?

Found 2 solutions by jim_thompson5910, Boreal:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

L = length of rectangle = unknown
W = width of rectangle = 3 units
P = perimeter of rectangle
P = 2L+2W
P = 2L+2*3
P = 2L+6

A = area of rectangle
A = L*W
A = L*3
A = 3L

The area and perimeter are the same, so we can equate the expressions found to solve for L
A = P
3L = 2L+6
3L-2L = 6
L = 6

Answer: The length is 6 units

Check:
P = 2L+2W
P = 2*6+2*3
P = 12+6
P = 18
The perimeter is 18 units when we have a length of 6 units and width of 3 units.

A = L*W
A = 6*3
A = 18
The area is the same as the perimeter. The answer has been confirmed.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
area is LW=3*L
perimeter is 2L+2W=6+2L
those two are equal, so that 6+2L=3L
L=6 units ANSWER
Perimeter is 18 units 2*6 + 2*3
Area is 18 units 6*3
RELATED QUESTIONS
A square and a rectangle have the same area. The square's length is x and width is x for... (answered by ankor@dixie-net.com)
a square and a rectangle have the same are. what is the numerical value of the rectangles (answered by jim_thompson5910)
a square and a a rectangle both have the same area. what is the numerical value of the... (answered by flame8855)
Smallest possible dimensions of a rectangle whose perimeter and area have same numerical... (answered by Alan3354,Edwin McCravy)
A rectangle has dimensions of (x + 2) and (3x + 3). Determine the exact value of x so... (answered by ptaylor)
a square and rectangle have the same perimeter. the square has 1 side that is 8x units. (answered by josgarithmetic)
The perimeter of a rectangle is 60 units. Its width is 5 units. What is the area of the... (answered by mananth)
A rectangle with a length of 3 and width of ("x- 1")has an area of "m" square units and... (answered by edjones)
the length of a rectangle is 3x+2 units and the width is x-6 units, what is the perimeter (answered by stanbon)