SOLUTION: the horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 cm more than 3 times the side of the squar

Question 473522: the horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 cm more than 3 times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the demensisions of the rectangle
Found 2 solutions by ccs2011, lwsshak3:
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Let the length of the side of the square be x.
Then the dimensions of the rectangle are: 1/2x and 3x +4
Perimeter of square = 4x
Perimeter of rectangle = 1/2x + 1/2x + (3x+4) +(3x+4) = 7x + 8
Twice the perimeter of square is 8x.
Then equation is:
8x = 7x + 8
Subtract 7x on both sides
x = 8
--> 1/2(8) = 4, 3(8)+4 = 28
Therefore dimensions of rectangle are 28 by 4.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 cm more than 3 times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the demensisions of the rectangle
**
let x=horizontal side of rectangle
3(2x)+4=6x+4=vertical side of rectangle
2(6x+4)+2x=14x+8=perimeter of rectangle
..
2x=side of square
4(2x)=8x=perimeter of square
..
(14x+8)/8x=2
14x+8=16x
2x=8
x=4
ans:
dimensions of rectangle:
horizontal side: 4 cm
vertical side:6x+4=24+4=28 cm
RELATED QUESTIONS
The horizontal sides of a rectangle are one half the length of the side of a particular... (answered by John10)
The horizontal sides of a rectangle are one half the length of the side of a particular... (answered by ankor@dixie-net.com)
Help Please ! The hortizontal sides of a rectangle are one half of the length of the... (answered by chessace)
The ratio of the sides of a particular rectangle are 3:2. What is the length of each side (answered by solver91311)
A=LW The area of this rectangle is 21 square units. Find its length(the Horizontal... (answered by checkley79)
A rectangle is inscribed in a square so that each vertex of the rectangle is located on... (answered by rothauserc,math_helper,greenestamps)
Two opposite sides of a square are shorteened by 2 units. The area of the rectangle... (answered by Alan3354,MathTherapy)
Two opposite sides of a square are shortened by 2 units. The area of the rectangle... (answered by macston,Alan3354)
"a square piece of land is enclosed with fencing and then divided in half by additional... (answered by Mathtut)