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FrozenT [24]
1 year ago
11

I need help with this please and thank you

Mathematics
1 answer:
Anika [276]1 year ago
8 0

Answer:

  • length 12
  • width 7

Step-by-step explanation:

Adding 5 m to the width of a rectangle makes it a square with area 144 m². You want the length and width of the original rectangle.

<h3>Area</h3>

The formula for the area of a square is ...

  A = s²

The side length of the square formed from the rectangle is ...

  144 = s²

  √144 = s = 12 . . . . . meters

<h3>Rectangle</h3>

The length of the rectangle is unchanged when it is made into the square, so the length is 12 m.

The width of the rectangle had 5 m added to make it 12 m, so the width of the rectangle is 7 m.

__

<em>Additional comment</em>

The given relation between length and width is given as L = 2W -2. It is true that 12 = 2(7) -2, but that is not needed in order to solve this problem. It does serve as a check on our answer.

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