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1. The function that models the area A of the rectangle is A=10H-H².

   Rectangles

   The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

   A rectangle is a quadrilateral that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).

   The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter can be calculated from equation 2B+2H.

   The area of a rectangle can be found for the formula : B*H, where B = base and H =height.

   For this question:

      Perimeter = 20 ft

   From the perimeter, you have the following equation:

   2B+2H=P

   2B+2H=20

   Then,

   2B=20-2H , dividing all terms by 2

   B=10-H

   Like the area (A) is given by B*H, you will have:

   A=B*H

   A=(10-H)*H

   A=10H-H²

   Read more about the area of rectangle here:

   brainly.com/question/25292087

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