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the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width​

Sagot :

Answer:

  3 cm

Step-by-step explanation:

The given relation between length and width can be used in the perimeter formula to find the width.

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Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...

  P = 2(L +W) . . . . . perimeter formula

  20 = 2((w +4) +w) . . . . known values substituted

  10 = 2w +4 . . . . . . . . divide by 2, collect terms

  6 = 2w . . . . . . . . . subtract 4

  3 = w . . . . . . . . divide by 2

The width of the rectangle is 3 cm.

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Additional comment

The length is 7 cm.