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 2 years ago
The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method.
A. width = 10 cm, length= 14 cm
B. width = 10 1/2 cm, length= 14 1/2 cm
C. width = 11 cm, length= 15 cm
D. width = 23 cm, length= 27 cm
 2 years ago
The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method. A. width = 10 cm, length= 14 cm B. width = 10 1/2 cm, length= 14 1/2 cm C. width = 11 cm, length= 15 cm D. width = 23 cm, length= 27 cm

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tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1Do you know the equation for the perimeter of a rectangle?

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1There are four sides, so to find the perimeter we just add them all up\[perimeter = length + length + width + width\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1we can simplify this expression by using multiplication because \[width + width = 2 \times width\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1and \[length + length = 2 \times length\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1so the perimeter equation looks like this\[perimeter = 2 \times length + 2 \times width\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1this problem gives us two pieces of information that we can insert into out equation for perimeter

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1we are told that the perimeter = 50 and that the length is 4 more than the width so we can write the length like this \[length = width + 4\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1we can substitute both of these pieces of information into the equation for perimeter\[perimeter = 2 \times length + 2 \times width\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1to get:\[50 = 2 \times (width + 4) + 2 \times width\]

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1By substituting length with width + 4 we reduced the equation to a single variabale which we can solve.

tjones89
 2 years ago
Best ResponseYou've already chosen the best response.1can you handle it from here?

kjhgfd
 2 years ago
Best ResponseYou've already chosen the best response.0yeah I had after the first two messages, but thanks for being so detailed I appreciate it

kjhgfd
 2 years ago
Best ResponseYou've already chosen the best response.0Now how do I give you a medal?
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