SOLUTION: Here is another question I need assistance with. You have a rectangle that is 2 cm more than twice its width and the perimeter is 52 cm, what are the dimensions of this rectangle?

Algebra ->  Inequalities -> SOLUTION: Here is another question I need assistance with. You have a rectangle that is 2 cm more than twice its width and the perimeter is 52 cm, what are the dimensions of this rectangle?      Log On


   



Question 54306: Here is another question I need assistance with. You have a rectangle that is 2 cm more than twice its width and the perimeter is 52 cm, what are the dimensions of this rectangle?
Answer by fanks(6) About Me  (Show Source):
You can put this solution on YOUR website!
The rectangle has such edges: a, b, a, b where b+=+2a+%2B+2
So the edges go like this: a, 2a + 2, a, 2a + 2
Their sum is a+%2B+2a+%2B+2+%2B+a+%2B+2a+%2B+2+=+6a+%2B+4 which is the same as the perimeter: 6a+%2B+4+=+52
Thus 6a+=+48 and a+=+8, and b+=+2a+%2B+2+=+18
One edge is 8cm, the other one is 18cm.
(Sorry, I misread the problem. Do I understand it correctly now - the rectangle's height is 2cm more than twice its width; that is rectangle's height is two times its width plus 2cm?)
The rectangle has such edges: a, b, a, b where b+=+a+%2B+2
So the edges go like this: a, a + 2, a, a + 2
Their sum is a+%2B+a+%2B+2+%2B+a+%2B+a+%2B+2+=+4a+%2B+4 which is the same as the perimeter: 4a+%2B+4+=+52
Thus 4a+=+48 and a+=+12, and b+=+a+%2B+2+=+14
One edge is 12cm, the other one is 14cm.