the perimeter of a standard sized rectangular rug is 40ft. the length is 2ft longer than the width. find dimensions
The equation of the perimeter of a rectangle is P = 2W + 2L. What is an equation relating the width, W, to the length, L?
not understanding
So what is the relationship between the length and the width?
2ft longer than width not getting what your asking me
Are you able to write this relationship as an equation?
p=2*40+2*L
is this what your asking
The equation for your Perimeter is 40 = 2L + 2W. You know that the length is 2 ft longer than the width. The first step is to write an equation directly relating the length to the width.
Hint: It involves the fact that the length is 2 ft greater than the width
40=2*42+2*40
No, don't use the equation for the perimeter. We need a second equation in order to solve that equation. Write a *new* equation, using the fact that the length is 2 ft longer than the width.
p=2*42+2*40
That is the equation for the perimeter. Since we know the length is 2 ft longer than the width, that means the L = W + 2. Now that we have a relationship between L and W, how can we use this new equation to solve for their dimensions?
ok Im sorry that i dont get much of this im well into my 50s and im seriously trying
L=40+2
It's fine. Now that we have a relationship between the length and the width, we can substitute our new equation into the equation for our perimeter, P = 2L + 2W.
P=2*2+2*40
no?
Sorry, didn't get a notification. Since we know that L = W + 2, we can substitute that into our perimeter equation. This gives us 40 = 2* (W + 2) + 2W. Since we have this equation in terms of one variable, we can solve for that variable. This equation becomes 40 = 2W + 4 + 2W. Once we solve for W, we can solve for L, and thus solve this problem.
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