SOLUTION: The length of a rectangle is 3 cm greater than its width.The perimeter is 24 cm. Find the dimensions of the rectangle? bottom of the rectangle is x+3 th

Question 95515This question is from textbook Prentice Hall Mathematics Algebra 2 Florida
: The length of a rectangle is 3 cm greater than its width.The perimeter is 24 cm. Find the dimensions of the rectangle?
bottom of the rectangle is x+3
the side which is the length is x This question is from textbook Prentice Hall Mathematics Algebra 2 Florida

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
2LENGTH+2WIDTH=PERIMETER
2*X+2(X+3)=24
2X+2x+6=24
4x=24-6
4x=18
x=18/6
x=3 answer for the width
x+6=9 answer for the length
proof
2*3+2*9=24
6+18=24
24=24

Answer by stanbon(48545) (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 3 cm greater than its width.The perimeter is 24 cm. Find the dimensions of the rectangle?
bottom of the rectangle is x
the side which is the length is x+3
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Perimeter = 2(length) + 2(width)
24 cm = 2(x+3) + 2(x)
Divide thru by 2 to get:
12 = x+3+x
2x+3 = 12
2x = 9
x = 4.5 cm (width of the rectangle)
x+3 = 7.5 cm (length of the rectangle)
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Cheers,
Stan H.