Select the correct answer.Edward is making a rectangular picture frame. He wants the perimeter of the frame to be no more than 96 inches. He also wants the length of the frame to be greater than or equal to the square of 4 inches less than its width.Create a system of inequalities to model the above situation and use it to determine how many of the solutions are viable. A. No part of the solution region is viable because the length or width cannot be negative. B. The entire solution region is viable. C. Part of the solution region includes a negative length; therefore, all solutions are not viable for the given situation. D. Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.

A school is planning to construct two rectangular play areas in the playground.The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions? A. The system has two solutions, but only one is viable because the other results in a negative width. B. The system has only one solution, but it is not viable because it results in a negative width. C. The system has only one solution, and it is viable because it results in a positive width. D. The system has two solutions, and both are viable because they result in positive widths.

Ted is building a square-shaped deck around a tree in his backyard. The empty area which holds the tree is in the shape of a square with a side length of 5 feet, and the deck has a side length that is x ft longer.Which of the following inequalities could be used to solve for x if Ted wants the area of the deck to be at least 96 square feet? A. x2 + 10x + 96 > 0 B. x2 + 10x - 96 < 0 C. x2 + 10x - 96 > 0

Implement a Class for a RectangleCreate a class Rectangle with attributes for length and width.Implement methods to calculate the area and perimeter of the rectangle.Ensure that the length and width are always positive.Constraints:NAExample:Sample Input:5.06.0Sample Output:Area: 30Perimeter: 22 Explanation:output is the area and perimeter of rectangle through given inputs respectively.

Graph the feasible region subject to the following constraints.6𝑥 − 8𝑦 ≤ 12 ; 3𝑥 + 4𝑦 ≥ 6 ; 𝑥 ≥ 0 ; 𝑦 ≥ 0

"A rectangular garden is to be constructed with one side against the side of a barn. If 60 meters of fencing are available to enclose the other three sides of the garden, what dimensions should be used to maximize the area of the garden?"