Suppose you have a rectangular garden that has an area represented by 3x²+11x+6 square meters and it’s length is represented by 3x+2 meters?
1.)find the binomial that represents the width of your garden?
2.)suppose the measure of the length is 14 m what is the measure of the width of the rectangle ?
3.)what is the area of the rectangular garden ?
4.)if you are going to plant your garden with eggplant which is 21 cm apart how many in plants can you plant ?

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KuyaEngr · Answer

Area of Plane Figure and Algebraic ExpressionThe given problem is an application of solving area of the plane figure in real life situation. You will apply your basic knowledge in mathematics and geometry especially in solving area of plane figure and how many items can be occupied in the space provided presented in algebraic expression. Given ProblemSuppose you have a rectangular garden that has an area represented by 3x²+11x+6 square meters and it's length is represented by 3x+2 meters?Step-by-step Solution and DiscussionHow to find the area of a rectangle? Area of a rectangle is the space occupied by the shape express in square units. Finding area is the of the product of length and width (A = lw).Step 1: Identify all the given in the problemArea represented by 3x²+11x+6 square metersLength is represented by 3x+2 mmeterStep 2: Identify what is being ask1.) Find the binomial that represents the width of your garden?2.) Suppose the measure of the length is 14 m what is the measure of the width of the rectangle ?3.) What is the area of the rectangular garden ?4.) If you are going to plant your garden with eggplant which is 21 cm apart how many in plants can you plant ?Step 3: Make a mathematical equationSolve Question 1Use A = lw, when l = 3x + 2 and A = 3x²+11x+6A = lw → 3x²+11x+6 = (3x+2)ww = (3x²+11x+6)/(3x+2)w = x + 3 [answer]Solve Question 2When l = 3x + 2, and l = 14 m3x + 2 = 14 m 3x = 14 - 2 3x = 12x = 12/3x = 4When x = 4, then w = x + 3w = 4 + 3w = 7 m [answer]Solve Question 3When w = 7 m, and l = 14 mA = lwA = (7 m)(14 m)A = 98 m² [answer]Solve Question 4Planting 21 cm apart, 21 cm displacement from left to right, then top and bottom from one plant. 21 cm = 0.21 m                    0.21 m                       ↑0.21 m  ←  Eggplant → 0.21 m                       ↓                     0.21 mTotal Distance from left to right = 0.21 + 0.21 = 0.42 m (serve as width), similar from top to bottom. Area of space of displacement = 0.42² = 0.1764 m²No. of eggplant = area of garden ÷ area of space                         = 98 m² ÷ 0.1764 m²                        = 555.55555 ≈ 556 eggplant [answer]Tips in Solving Math problemsApply your knowledge in previous topics.Don't forget the units of the problem, convert the unit first if necessary before you jump in the solution.Identify what formula is neededCreate mathematical equation, then solveCheck the solutionPractice and practice solving word problemsRead more! A rectangular pond has a length of 8 m more than twice its width. Solve for the length and the width if the area of the said pond is 120 m??https://brainly.ph/question/18419774#CarryOnLearning#BRAINLYFAST

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Suppose You Have A Rectangular Garden That Has An Area Represented By 3x²+11x+6 Square M…

Area of Plane Figure and Algebraic Expression

Given Problem

Step-by-step Solution and Discussion

Step 1: Identify all the given in the problem

Step 2: Identify what is being ask

Step 3: Make a mathematical equation