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Guide to solving exercise 3 on page 18 of Math 5 textbook
Problem statement:
A rectangular flower garden has a perimeter of 120m. Its width is 5/7 of its length.
a) Calculate the length and width of that flower garden.
b) 1/25 of the area of the flower garden is used for a pathway. What is the area of the pathway in square meters?
Solving method:
- Step 1: Summarize the problem using a straight-line diagram
- Step 2: Find the total number of equal parts
- Step 3: Find the smaller number by dividing the total by the total number of equal parts, then multiply by the number of parts of the smaller number
- Step 4: Find the larger number by subtracting the smaller number from the total.
* Note: In this problem, the perimeter of the rectangle is given as P = (a + b) x 2, so first, we need to find the sum of the length and width by finding half of the rectangle's perimeter.
Answer:
a) Half of the perimeter or the sum of the length and width is:
120 ÷ 2 = 60 (m)
We have the diagram:
According to the diagram, the total number of equal parts is:
5 + 7 = 12 (parts)
The width of the flower garden is:
60 ÷ 12 x 5 = 25 (m)
The length of the flower garden is:
60 − 25 = 35 (m)
b) The area of the flower garden is:
35 x 25 = 875 (m2)
The area of the pathway is:
875 ÷ 25 = 35 (m2)
Answer:
a) Length: 35m;
Width: 25m;
b) 35m2.
Here is the solution for exercise 3 on page 18 of Math 5 textbook. Additionally, there are 2 more exercises: Solve Exercise 1 Page 18 Math 5 and Solve Exercise 2 Page 18 Math 5. Let's check the solution for exercise page 18 Math 5 to study Math 5 well!
