Solving Exercise 4 on Page 70 of 5th Grade Math Workbook

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Ngày cập nhật gần nhất: 15/4/2026

Solving Exercise 4 on Page 70 of 5th Grade Math Workbook: A rectangular plot with a width of 12.5m has an area equal to a square with sides measuring 25m. Calculate the perimeter of the plot.

Step-by-step Solution for Exercise 4 on Page 70 of 5th Grade Math Workbook

Problem:
A rectangular plot of land with a width of 12.5m has an area equal to that of a square with sides measuring 25m. Calculate the perimeter of the rectangular plot.

Solution Method:
- Calculate the area of the square using the formula: A = a x a
- Reasoning: The area of the rectangle equals the area of the square, as found above
- Determine the length of the rectangular plot by dividing the area of the rectangle by the width
- Calculate the perimeter of the rectangular plot by adding the length to the width and multiplying by 2.

Answer:
The area of the square with a side of 25m is:
25 x 25 = 625 (m²)
According to the problem, the rectangle has an area equal to the square with a side length of 25m, so the area of the rectangle is 625 m²
The length of the rectangular plot is:
625 : 12.5 = 50 (m)
The perimeter of that plot is:
(50 + 12.5) x 2 = 125 (m)
Answer: 125 m.

Here is the solution for exercise 4 on page 70 of the 5th-grade math workbook. Additionally, this section covers three other exercises: Solving Exercise 1 on Page 70 of 5th Grade Math Workbook, Solving Exercise 2 on Page 70 of 5th Grade Math Workbook, and Solving Exercise 3 on Page 70 of 5th Grade Math Workbook. Explore the solution to exercise 70 math practice 5th grade for a better understanding of the subject.

Frequently Asked Questions

How do you calculate the perimeter of a rectangular plot of land?

To calculate the perimeter of a rectangular plot, you need the length and width. The formula is P = 2 × (length + width). In the given example, the length is 50m and the width is 12.5m, so the perimeter is P = 2 × (50 + 12.5) = 125m.

What is the area of the square mentioned in the math workbook?

The area of the square with each side measuring 25m is calculated using the formula A = a × a. Therefore, the area is 25m × 25m = 625m², which equals the area of the rectangular plot.

Why is the area of the rectangle equal to the area of the square?

The area of the rectangle is equal to the area of the square because the problem states that the rectangular plot has an area equal to that of a square with sides of 25m. Thus, both areas are 625m².

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