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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
 one year ago
 one year 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
 one year ago
 one year ago

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tjones89Best ResponseYou've already chosen the best response.1
Do you know the equation for the perimeter of a rectangle?
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
dw:1350324998775:dw
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
There are four sides, so to find the perimeter we just add them all up\[perimeter = length + length + width + width\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
we can simplify this expression by using multiplication because \[width + width = 2 \times width\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
and \[length + length = 2 \times length\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
so the perimeter equation looks like this\[perimeter = 2 \times length + 2 \times width\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
this problem gives us two pieces of information that we can insert into out equation for perimeter
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
we are told that the perimeter = 50 and that the length is 4 more than the width so we can write the length like this \[length = width + 4\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
we can substitute both of these pieces of information into the equation for perimeter\[perimeter = 2 \times length + 2 \times width\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
to get:\[50 = 2 \times (width + 4) + 2 \times width\]
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
By substituting length with width + 4 we reduced the equation to a single variabale which we can solve.
 one year ago

tjones89Best ResponseYou've already chosen the best response.1
can you handle it from here?
 one year ago

kjhgfdBest ResponseYou've already chosen the best response.0
yeah I had after the first two messages, but thanks for being so detailed I appreciate it
 one year ago

kjhgfdBest ResponseYou've already chosen the best response.0
Now how do I give you a medal?
 one year ago
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