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 centimeters more than three times the side

Question 490677: 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 centimeters more than three times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the dimensions of the rectangle?
Answer by John10(297) (Show Source): You can put this solution on YOUR website!
Let x be the length of the rectangle
y---------width-----------------
z--------side-------------square
The first sentence: x = z/2 (1)
The second sentence: y = 3z + 4 (2)
The third sentence: 2(x + y) = 2(4z) (3)
Substitute (1) and (2) into (3):
2(z/2 + 3z + 4) = 8z
z + 6z + 8 = 8z
7z + 8 = 8z
z = 8
Substitute z = 8 into (1) and (2) to find x and y:
(1): x = 8/2 = 4
(2): y = 3(8) + 4 = 24 + 4 = 28
Thus the rectangle has the width of 4 and length of 28.
John10:)
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