A rectangle has a perimeter of 20 ft. Find a function that models its area A in terms of the length x of one of its sides.

Answers

The function that models the area Aof 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 presentstwo 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:

functionthatmodelstheareaArectangleisA=10H-H².Rectanglesrectangleis aquadrilateral. Theclassificationfor quadrilaterals isgiven bythelength of sidesandangles. For a rectangle, theopposite sidesareequalandparalleland theirinterior anglesare equal to90°.baseandheight. Due to its characteristics, therectangle presentstwo bases(B) andtwo heights(H).perimeterof a geometric figure is thesum of its sides. Thus, for arectangle, the perimeter can be calculated from equation2B+2H.areaof a rectangle can be found for the formula :B*H, where B =baseand H =height.area of rectanglehere: