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Mumz [18]
3 years ago
6

I rectangular garden is fence on all sides with 245 feet of fencing for garden is 6 feet longer than it is wide find the length

and the width and the garden
Mathematics
1 answer:
saw5 [17]3 years ago
8 0

Answer:  1591

Step-by-step explanation: Let's look for the clues.  A rectangle has 4 sides, 2 sides are equal length and so are the other 2 sides of a rectangle.  

 

Perimeter of a rectangle is Side 1 + Side 2 + Side 3 + Side 4.

 

Side 1 and Side 3 (for example) are the longer sides of the rectangle, they will be equal.

Side 2 and 4 (for example) are the shorter sides of the rectangle, they will be equal.

 

Sides 1 + 2 + 3 + 4 = 160

 

Side 1 and Side 3 are equal to "x + 6", or in plain english 6 feet longer than the other sides.

Side 2 and 4 are equal to "x"

 

Adding them all together

 

x + x + x+6 + x+6 = 4x + 12 = 160

 

4x + 12 = 160 is now a much simpler algebra problem.

 

4x = 148

 

x = 37

 

 

So the shorter sides are each 37, the longer sides are each 43.

 

The area of a rectangle is length times width.

 

37 x 43 = 1591 ft squared

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