Solving 5th Grade Math Page 95, Focused Practice

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Guidelines for solving 5th Grade Math Page 95, Focused Practice - Including solving methods

1. Solving Exercise 1 - Math 5 Page 95

2. Solving Exercise 2 - Solving Math 5 Page 95 Practice

3. Solving Exercise 3 - Solving 5th Grade Math Exercise Page 95

Guidelines for solving 5th Grade Math Page 95, Focused Practice - Concise

Exercise 1 Solving Math 5 Page 95 Textbook

Exercise 2 - Solving Math 5 Page 95

Problem 3 from Math Exercise Book 5 page 95

Guide to solving 5th Grade Math Page 95 Focused Practice suggests solving methods and presentation techniques for exercises related to the area of trapezoids and triangles that we have learned in previous lessons. With this focused practice, students can easily practice problem-solving skills and grasp the knowledge firmly.

=> Check out more 5th Grade Math solving materials here: 5th Grade Math Solutions

Guidelines for solving 5th Grade Math Page 95, Focused Practice - Including solving methods

1. Solving Exercise 1 - Math 5 Page 95

Problem:
Calculate the area of a right triangle with the lengths of the two legs being:
a) 3 cm and 4 cm;
b) 2.5 m and 1.6 m;
c) 2/5 dm and 1/6 dm;

Solving Method:
Apply the formula for finding the area of a right triangle by: Multiplying the lengths of the two legs, then dividing the result by 2.

2. Solving Exercise 2 - Solving Math 5 Page 95 Practice

Problem:
How many square decimeters is the area of trapezoid ABED greater than the area of triangle BEC?

Solving Method:
- Calculate the area of trapezoid ABED by applying the formula for the area of a trapezoid: S = [(a + b) x h] : 2.
- Then, deduce that the height of triangle BEC is equal to the length of segment AH = 1.2 dm. Therefore, the area of triangle BEC will be the product of the length of base EC and the length of side AH, divided by 2.
- To find out how much larger the area of trapezoid ABED is than the area of triangle BEC in square decimeters, subtract the area of triangle BEC from the area of trapezoid ABED.

3. Solving Exercise 3 - Solving 5th Grade Math Exercise Page 95

Problem:
In a trapezoidal garden plot (as shown in the diagram), 30% of the land area is used for planting papayas and 25% of the area is used for planting bananas.

Solving Method:
- Step 1: Calculate the area of the trapezoidal garden plot using the trapezoid area formula.
- Step 2: Calculate the area of land for planting papayas by multiplying the garden plot area by 30% (or dividing by 100, then multiplying by 30).
- Step 3: Calculate the area of land for planting bananas by multiplying the garden plot area by 25% (or dividing by 100, then multiplying by 25).
- Step 4: Calculate the number of papaya trees by dividing the area of land for planting papayas by the area for planting 1 papaya tree.
- Step 5: Similarly, calculate the number of banana trees by dividing the area of land for planting bananas by the area for planting 1 papaya tree.
- Step 6: To find out how many more banana trees there are compared to papaya trees, subtract the number of papaya trees from the number of banana trees (results obtained above).

Answer:
a) The area of the trapezoidal garden plot is:
(70 + 50) x 40 : 2 = 2400 (cm²)
The area for planting papayas is:
2400 : 100 x 30 = 720 (m²)
The number of papaya trees that can be planted is:
720 : 1.5 = 480 (trees)
b) The area for planting bananas is:
2400 : 100 x 25 = 600 (m²)
The number of banana trees that can be planted is:
600 : 1 = 600 (trees)
The number of banana trees planted more than papaya trees is:
600 - 480 = 120 (trees)

Answer: a) 480 trees
b) 120 trees.

Guidelines for solving 5th Grade Math Page 95, Focused Practice - Concise

Exercise 1 Solving Math 5 Page 95 Textbook

Calculate the area of a right triangle with the lengths of the two legs being:
a) 3cm and 4cm;
b) 2.5m and 1.6m;
c) 2/5 dm and 1/6 dm;
The area of the right triangle is equal to the product of the lengths of the two legs divided by 2:

Answer: a) 6 (cm²), b) 2 ( cm²), c) 1/30 (dm²)

Exercise 2 - Solving Math 5 Page 95

What is the area difference between trapezoid ABED and triangle BEC in square decimeters?

The area of trapezoid ABED is equal to:

Given that the height of triangle BEC is the length of segment AH = 1.2 decimeters, the area of triangle BEC is:
(1.3 x 1.2)/2 = 0.78 (dm²)
The area difference between trapezoid ABED and triangle BEC is:
2.46 – 0.78 = 1.68 (dm²)
Answer: 1.68 (dm²)

Chapter II introduces us to decimal numbers, where the concept of decimal numbers is extensively used. Check out hint Solve Math 5 page 34, 35 to excel in 5th-grade Mathematics.

Problem 3 from Math Exercise Book 5 page 95

On a trapezoidal garden plot (as shown in the diagram), 30% of the land is used for planting papayas and 25% of the land is used for planting bananas.

a) How many papaya trees can be planted, knowing that each papaya tree requires 1.5 square meters of land?
b) How many more banana trees can be planted than papaya trees, knowing that each banana tree requires 1 square meter of land?
The area of the trapezoidal garden plot is: (70 + 50) x 40 / 2 = 2400 (cm²)
The area for planting papaya trees is: 2400 : 100 x 30 = 720 (m²)
The area for planting bananas is: 100 x 25 = 600 (m²)
The number of papaya trees that can be planted is: 720 : 1.5 = 480 (trees)
b) The number of banana trees that can be planted is: 600 : 1 = 600 (trees)
The difference in the number of banana trees planted and papaya trees planted is:
600 – 480 = 120 (trees)
Answer: a) 480 trees; b) 120 trees.

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Furthermore, Subtracting Decimal Numbers is an important lesson in the 5th-grade Math curriculum that students need to pay special attention to.

Above is a hint Solve Math 5 page 95, Concentrated Practice with full details. Prepare for the content on Circles, circular paths through the section Solve Math 5 page 96, 97 and the Perimeter of a circle through the section Solve Math 5 page 98 to excel in 5th-grade Mathematics.

Frequently Asked Questions

What methods can be used to calculate the area of a right triangle?

To calculate the area of a right triangle, you can multiply the lengths of the two legs and then divide the result by 2. This method is effective for determining the area in various units such as centimeters or meters.

How do you find the area of trapezoid ABED compared to triangle BEC?

To find the area difference, first calculate the area of trapezoid ABED using the formula S = [(a + b) x h] / 2. Then, determine the area of triangle BEC by multiplying the base and height, and finally, subtract the area of triangle BEC from trapezoid ABED.

What percentage of a trapezoidal garden plot is used for planting papayas?

In the trapezoidal garden plot, 30% of the total area is designated for planting papayas. This is calculated by taking 30% of the garden plot's area to determine how much space is available for the papaya trees.

How can I determine the number of banana trees that can be planted?

To find the number of banana trees that can be planted, divide the area allocated for bananas by the space required for one banana tree, which is 1 square meter. This calculation gives you the total number of banana trees that can be accommodated.

What is the area difference between the trapezoid ABED and triangle BEC?

The area difference between trapezoid ABED and triangle BEC is calculated by finding the area of both shapes and then subtracting the area of triangle BEC from trapezoid ABED. In this case, the area difference is 1.68 square decimeters.

What are the key formulas for calculating areas of triangles and trapezoids?

To calculate the area of a triangle, use the formula Area = (base x height) / 2. For trapezoids, the formula is Area = [(a + b) x h] / 2, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height.

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