Solve Exercise 1 on Pages 105 and 106 of Math 5 Textbook

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Ngày cập nhật gần nhất: 15/4/2026

Solve exercise 1 on pages 105 and 106 of Math 5, part of the practice in area calculation (continued). Calculate the land area with the depicted shape below.

Guidance for solving exercise 1 on pages 105 and 106 of Math 5

Problem:
Calculate the land area with the depicted shape below, given
AD = 63m
AE = 84m
BE = 28m
GC = 30m

Solution Method:
Observing the given illustration, the land plot is divided into a rectangle AEGD and two triangles AEB and BGC. Perform the following calculations sequentially:
- Calculate the area of rectangle AEGD using the formula S = length x width
- Determine the length of side BG
- Calculate the areas of right triangles BGC and ABE using the formula: S = (base x height) / 2
- Find the land plot area by adding the total area of rectangle AEGD to the areas of triangles ABE and BGC.

Answer:
The area of rectangle AEGD is:
84 x 63 = 5292 (m²)
The length of side BG is:
28 + 63 = 91 (m)
The area of triangle BGC is:
91 x 30 / 2 = 1365 (m²)
The area of triangle ABE is:
84 x 28 / 2 = 1176 (m²)
The land plot area is:
5292 + 1365 + 1176 = 7833 (m²)
Result: 7833 (m²).

Mytour has just provided a solution for exercise 1 on pages 105 and 106 of Math 5 textbook. Additionally, we also suggest solving other exercises, including Exercise 2 on Pages 105 and 106 of Math 5 textbook. Check out the guidance for solving Math 5 exercise on pages 105 and 106 to excel in 5th-grade math!

Frequently Asked Questions

What steps should I follow to calculate the land area?

To calculate the land area, start by finding the area of rectangle AEGD using the formula S = length x width. Then, calculate the areas of triangles ABE and BGC separately, using the formula S = (base x height) / 2, and finally add all areas together.

How do I determine the area of rectangle AEGD?

The area of rectangle AEGD is calculated by multiplying its length by its width. In this case, it is 84 meters times 63 meters, resulting in an area of 5292 square meters.

What is the total land plot area calculated in the exercise?

The total land plot area calculated in the exercise is 7833 square meters. This total is the sum of the area of rectangle AEGD and the areas of triangles ABE and BGC.

Can you explain how to find the area of triangle BGC?

To find the area of triangle BGC, first determine the length of side BG, which is 91 meters. Then use the area formula S = (base x height) / 2. Here, it results in 1365 square meters.

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