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The perimeter of the rectangle is 596 yards. The length of it is 2 yards less than quadruple the width. What are the dimensions of the rectangle?

 

 

 

 

 

 

 

 

 

 

This is all the info    given 

herrstein1010  Apr 11, 2018
edited by herrstein1010  Apr 11, 2018

Best Answer 

 #1
avatar+7324 
+1

Let's call the length of the rectangle, in yards,  L  .

Let's call the width of the rectangle, in yards,  W .

 

The perimeter of the rectangle is 596 yards, so....

 

L + L + W + W   =   596

                                         Let's solve this equation for  L . Comine like terms.

2L + 2W   =   596

                                         Subtract  2W  from both sides of the equation.

2L   =   596 - 2W

                                         Divide through by  2 .

L   =   298 - W

 

Its length is 2 yards less than 4 times its width, so...

 

L   =   4W - 2

                                   Since   L  =  298 - W   we can replace  L  with  298 - W .

298 - W   =   4W - 2

                                   Add  2  to both sides, and add  W  to both sides.

298 + 2   =   4W + W

                                   Combine like terms.

300   =   5W

                                   Divide both sides by  5 .

60   =   W

 

Now we can use this value for the width to find the length.

 

L   =   298 - W

 

L   =   298 - 60

 

L   =   238

 

So the width is 60 yards and the length is 238 yards.

hectictar  Apr 11, 2018
 #1
avatar+7324 
+1
Best Answer

Let's call the length of the rectangle, in yards,  L  .

Let's call the width of the rectangle, in yards,  W .

 

The perimeter of the rectangle is 596 yards, so....

 

L + L + W + W   =   596

                                         Let's solve this equation for  L . Comine like terms.

2L + 2W   =   596

                                         Subtract  2W  from both sides of the equation.

2L   =   596 - 2W

                                         Divide through by  2 .

L   =   298 - W

 

Its length is 2 yards less than 4 times its width, so...

 

L   =   4W - 2

                                   Since   L  =  298 - W   we can replace  L  with  298 - W .

298 - W   =   4W - 2

                                   Add  2  to both sides, and add  W  to both sides.

298 + 2   =   4W + W

                                   Combine like terms.

300   =   5W

                                   Divide both sides by  5 .

60   =   W

 

Now we can use this value for the width to find the length.

 

L   =   298 - W

 

L   =   298 - 60

 

L   =   238

 

So the width is 60 yards and the length is 238 yards.

hectictar  Apr 11, 2018

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