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Question 6461: Help! I'm getting frustrated with these story problems!
1. A triangle has a perimeter of 75 meters. The length of the second side is 5 more than the first side. The length of the third side is double the second side less 2 meters. What is the length of each side.
2. The length of Betty's rectangular garden is 6 more than 2 times the width. I fthe perimeter is 84 feet, find the dimensions of her garden.
3. A piece of taffy 9 inches long was cut into 3 pieces. The longest piece is twice as long as the shortest piece. The medium piece is 1 inch more than the shortest piece. Find the length of the 3 pieces.
4. The perimeter of a picture frame is 50inches. The width is 3 less than the length. What is the size of the frame?
Please Help, Please Help
Answer by srinivas123(23)   (Show Source):
You can put this solution on YOUR website! 1.
let the first side be x
Then given that second side is 5 more than first side .
So, second side is x+5
From the given data we have that
third side is 2(x+5) - 2.
The perimeter is sum of three side x+x+5+2x+10-2.
---> 4x+13=75
---> 4x=62
---> x= 15.5 mt.
first side is 15.5 mt second side is 20.5 mt and third side is 39 mt.
2. Given that perimeter is 84 feet.
Perimeter of the garden = 2(l+b)
let the width be x
Then lenth is 2x+6
----> 84=2(x+2x+6)
----> 84=6x+12.
----> x= 72/6= 12.
So the width is 12 feet and length is 30.
3.
Total length = 9 inch.
let the shortest piece be x inch.
Then the second piece is x+1 inch.
Third piece is twice the shortest so it is 2x.
Total length is x+x+1+2x = 9 inch
----> 4x = 9-1=8 inch
---- > x= 8/2 = 2 inch.
Hence the shortest piece is 2 inch
The medium piece is 3 inch.
And the third piece is 4 inch.
4.
Let the length be x.
Then given that width is 3 less , so width is x-3.
perimeter 2(x+x-3) = 50.
----> 4x= 56
----> x = 14.
Hene the lenght of the Frame is 14 inch and the width is 11 inch.
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