SOLUTION: 1. what are the dimensions of a rectangle ? when the perimeter is 50 feet and the length is 11 feet more than the width.
2. what is the length of a triangle that has a perimeter o
Question 85908: 1. what are the dimensions of a rectangle ? when the perimeter is 50 feet and the length is 11 feet more than the width.
2. what is the length of a triangle that has a perimeter of 69 inches? the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side.
3. michelle collected $184 selling girl scou cookies. the money consisted of $1, $5, $10 bills. there were three times as many $1 bills as $5. if there were $60 bills, how many of each bill did she have? Answer by praseenakos@yahoo.com(507) (Show Source):
Then length = x +11 feet( given that length is 11 feet more than width)
Perimeter = 2( length + width)
Given, perimeter = 50 feet.
==> 2( length + width) = 50
==> 2( x + 11 + x ) = 50
==> 2( 2x + 11) = 50
==> 2*2x + 2*11 = 50
==> 4x + 22 = 50
Subtract 22 from both sides.....
==> 4x + 22 -22 = 50 - 22
==> 4x = 28
Divide both sides of the expression by 4
==>
===> x = 7
That is width = 7 feet.
So, length = x + 11 = 7 + 11 = 18 feet.
You can check yopur answer by plugging the values of length and width in the given formula, perimeter = 2(length + width)
2) Question:
a triangle has a perimeter of 69 inches. the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side. find the length of each side.
Answer;
Assume that the first side = x inches
The the second side is = (x+7) inches
The third side = 2x - 6 inches
Perimeter = total length of its sides = 69 inches
That is sum of three sides will give the perimeter....
==> x + x + 7 + 2x - 6 = 69
Now collect the x terms together.....
==> x+ x+ 2x + 7 - 6 = 69
==> 4x + 1 = 69
Subtract 1 from both sides.
==> 4x + 1 - 1 = 69 -1
==> 4x = 68
Divide both sides by 4
==>
==> x = 17
That is length of the first side = 17 inches
So second side = x + 7 = 17 + 7 = 24 inches.
Third side = 2x - 6 = 2*17 - 6 = 34 - 6 = 28 inches
3. michelle collected $184 selling girl scout cookies. the money consisted of $1, $5, $10 bills. there were three times as many $1 bills as $5. if there were $60 bills, how many of each bill did she have?
Answer:
Assume that there are 'x' $5 bills
Then there are '3x' $1 bills.
Since there are total 60 bills....
number of $10 bills are 60 - (x + 3x) = 60 -4x
