Answered

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The length of a rectangle is 9 centimeters more than half
the width. Find the length if the perimeter is 60 centimeters.

Sagot :

Space

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

  • 2(w/2 + 9) + 2w = 60
  • 2w/2 + 18 + 2w = 60
  • w + 18 + 2w = 60
  • 3w + 18 = 60
  • 3w = 42
  • w = 14

Substitute w = 14 into the equation for length l.

  • l = w/2 + 9
  • l = 14/2 + 9
  • l = 16

The length of the rectangle is 16 cm.

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