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I am very confused about this pls answer soon. I know there’s something to do with the distance formula

I Am Very Confused About This Pls Answer Soon I Know Theres Something To Do With The Distance Formula class=

Sagot :

Answer:

  • perimeter: 234 ft
  • area: 3150 ft²

Step-by-step explanation:

You want the perimeter and area of the largest rectangle that will fit in an area 48 ft by 81 ft with a 3 ft wide border all around.

Pool Dimensions

The width of the pool will be 48 ft less a 3 ft border on one side and a 3 ft border on the other side. That is, its width will be 48 -3 -3 = 42 ft.

Similarly, the length will be 81 -3 -3 = 75 ft.

Perimeter

The perimeter of a rectangle is given by the formula ...

  P = 2(L +W)

  P = 2(75 ft +42 ft) = 2(117 ft) = 234 ft

The perimeter of the largest pool is 234 feet.

Area

The area of a rectangle is given by the formula ...

  A = LW

  A = (75 ft)(42 ft) = 3150 ft²

The area of the largest pool is 3150 ft².

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Additional comment

The distance formula can be used to find the side lengths from the corner coordinates. Here, we don't need to do that.

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