Home
Class 7
MATHS
Find the length of each side of a square...

Find the length of each side of a square plot having perimeter 172 m.

Text Solution

AI Generated Solution

The correct Answer is:
To find the length of each side of a square plot with a given perimeter, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the formula for the perimeter of a square**: The perimeter \( P \) of a square is given by the formula: \[ P = 4 \times \text{side} \] 2. **Set up the equation using the given perimeter**: We know the perimeter of the square plot is 172 m. Therefore, we can write: \[ 4 \times \text{side} = 172 \] 3. **Solve for the length of one side**: To find the length of one side, divide both sides of the equation by 4: \[ \text{side} = \frac{172}{4} \] 4. **Perform the division**: Now, calculate \( 172 \div 4 \): - 4 goes into 17 four times (4 x 4 = 16), leaving a remainder of 1. - Bring down the 2 to make it 12. - 4 goes into 12 three times (4 x 3 = 12). - So, \( 172 \div 4 = 43 \). 5. **Conclusion**: The length of each side of the square plot is: \[ \text{side} = 43 \text{ m} \] ### Final Answer: The length of each side of the square plot is **43 meters**. ---
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the length of the side of a square whose area is 441m^2.

Find the side of a square whose perimeter is 100cm.

Find the side of the square whose perimeter is 20 m.

Find the length of a side of a square, whose area is equal to the area of a rectangle with sides 240 m and 70 m.

Find the side of a square notice board whose perimeter is 120 cm.

The sum of the perimeters of a square and a circle is given. Show that the sum of their areas is minimum when the length of a side of the square is equal to the diameter of the circle.

The perimeter of an isosceles triangle is 42 c m and its base is (3/2) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.

The perimeter of an isosceles triangle is 42 c m and its base is (3/2) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.

If one side of a square is 6.5 cm, find its perimeter and area.

A circle has a radius that is the same length as the sides of a square , if the square has a perimeter of 64 square inches , what is the area , in square inches , of the circle ?