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The perimeter of a rectangle is 64 meters. If the length is 2 more
than twice the width, find the dimensions of the rectangle.


The Perimeter Of A Rectangle Is 64 Meters If The Length Is 2 More Than Twice The Width Find The Dimensions Of The Rectangle class=

Sagot :

Answer:

  • 10 m and 22 m

Step-by-step explanation:

Given rectangle with:

  • P = 64 m
  • l = 2w + 2

Find l and w

Solution

Perimeter formula:

  • P = 2(l + w)

Substitute P and l and solve for w:

  • 64 = 2(2w + 2 + w)
  • 32 = 3w + 2
  • 3w = 30
  • w = 10 m

Find the value of l:

  • l = 2(10) + 2 = 20 + 2 = 22 m

Dimensions are 10 m and 22 m