Use Polya’s four-step in problem solving strategy to solve the exercise.1. If the length of the top of a rectangle is 15 inches more than its width and the area is 1,350 square inches. Find the dimension of the table. Problem SolvingStrategiesThis section covers some examples of problem solving strategies using Polya'sFour Steps in problem solving.Example 1: Suppose the NCAA basketball championships is decided on a best of fiveseries game. In how many different ways can a team win the championships?Solution:Step 1: Understand the Problem.There are many different orders to win the championships. The team may havewon three straight games (WWW) or maybe they could lose the first two gamesand won the last three games (LLWWW). There are also other possibilities suchas WWLW, WLww, or WLWLW.Step 2: Devise a Plan.Make an organized list of all possible orders and ensure that each of thedifferent orders is accounted for only once.Step 3: Carry Out the Plan.Each entry in the list must contain three Ws and may contain one or twolosses. Use a strategy to each order. One strategy is to start to write Ws, thenwrite L if it is not possible to write W. This strategy produces ten (10) differentorders shown below.www(Start with three wins)WWLW(Start with two wins)WWLLW(Start with two wins)WLWW(Start with one win)WLLWW(Start with one win)WLWLW(Start with one win)LWWW(Start with one loss)LWWLW(Start with one loss)LWLWW(Start with one loss)LLWWW(Start with two losses)Step 4: Look Back.The list above is organized and contains no duplications. It includes allpossibilities, we can conclude that there are ten (10) different ways in which abasketball team can win the NCAA championships in the best of 5 games.Example 2: Two times the sum of a number and 3 is equal to thrice the number plus4. Find the number.Solution:Step 1: Understand the Problem.We need to make sure that we have read the question carefully several times.Since we are looking for a number, we will let x be a number.Step 2: Devise a Plan.We will translate the problem mathematically. Two times the sum of a numberand 3 is equal to thrice the number plus 4.2(x + 3) = 3x + 4Step 3: Carry Out the PlanWe solve for the value of x, algebraically.2(x + 3) = 3x + 42x +6 = 3x + 43x – 2x = 6– 4X = 2Step 4: Look Back.If we take two times the sum of 2 and 3, that is the same a thrice the number 2plus 4 which is 10, so this does check. Thus, the number is 2. Analysis:This section presents the four-step process that forms the basis of any seriousattempt at problem solving. The polya's four step in problem solving are:Step 1: Understand the problem.Step 2: Devise a planStep 3: Carry out the plan.Step 4: Look back/ Review the solution.In order to become a good problem solver, one should follow Polya's four stepswhich help to examine each of the steps and determine what is involved. Usually, amathematical problem is presented in words whether orally or written.Step 1: Understand the Problem.Sometimes the problem lies in understanding the problem itself. To help usunderstand the problem, we might consider the following:Can you restate the problem in your own words?What is known or unknown?What is the condition?Is there enough information?What is the goal?Step 2: Devise a Plan.Devising a plan (translating) is a way to solve the problem by picturing how weare going to attack the problem.Act it out.Be systematic.Work backwards.Consider special cases.Eliminate possibilities.Perform an experiment.Draw a picture/diagram.Make a list or table/chart.Look for a pattern or patterns.Write an equation.Guess and check your answer.Solve a simple version of the problem.Step 3: Carry Out the Plan.In carrying out the plan (solve), we need to execute the equation we came up instep 2. The main key is to be patient and careful, even if we have necessary skills.Work carefully.Be patient.Keep trying until something works.Modify a plan or try a new plan.Try another strategy if the first one isn't working.Keep a complete and accurate record of your work.Be determined and don't get discouraged if the plan does not work immediately.Step 4: Look back.Does the answer make sense?Ensure that all the solution is consistent with the facts of the problem.Interpret the solution with the facts of the problem.Determine whether there is another method of finding the solution.Recheck any computations involved in the solution.

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Use Polya’s four-step in problem solving strategy to solve the exercise. 1. If the length of the top of a rectangle is 15 inches more than its width and the area is 1,350 square inches. Find the dimension of the table.