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 ?
Area of Plane Figure and Algebraic Expression
The 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 Problem
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?
Step-by-step Solution and Discussion
How 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 problem
Area represented by 3x²+11x+6 square meters
Length is represented by 3x+2 mmeter
Step 2: Identify what is being ask
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 ?
Step 3: Make a mathematical equation
Solve Question 1
Use A = lw, when l = 3x + 2 and A = 3x²+11x+6
A = lw → 3x²+11x+6 = (3x+2)w
w = (3x²+11x+6)/(3x+2)
w = x + 3 [answer]
Solve Question 2
When l = 3x + 2, and l = 14 m
3x + 2 = 14 m
3x = 14 – 2
3x = 12
x = 12/3
x = 4
When x = 4, then w = x + 3
w = 4 + 3
w = 7 m [answer]
Solve Question 3
When w = 7 m, and l = 14 m
A = lw
A = (7 m)(14 m)
A = 98 m² [answer]
Solve Question 4
Planting 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 m
Total 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 m²
No. of eggplant = area of garden ÷ area of space
= 98 m² ÷ 0.1764 m²
= 555.55555 ≈ 556 eggplant [answer]
Tips in Solving Math problems
- Apply 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 needed
- Create mathematical equation, then solve
- Check the solution
- Practice and practice solving word problems
Read 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
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