A square has a perimeter of 40 meters. What is the area of the square in square

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Question: A square has a perimeter of 40 meters. What is the area of the square in square meters?

Options:

Correct Answer: 100

Solution:

Perimeter = 4 × side; side = 40/4 = 10 meters. Area = side² = 10² = 100 square meters.

A square has a perimeter of 40 meters. What is the area of the square in square meters?

A square has a perimeter of 40 meters. What is the area of the square in square meters?

Step 1: Understand that a square has four equal sides.
Step 2: Know that the perimeter of a square is the total length around it, which is calculated as 4 times the length of one side.
Step 3: Use the formula for perimeter: Perimeter = 4 × side.
Step 4: We are given that the perimeter is 40 meters. So, set up the equation: 40 = 4 × side.
Step 5: To find the length of one side, divide the perimeter by 4: side = 40 / 4.
Step 6: Calculate the side length: side = 10 meters.
Step 7: Now, to find the area of the square, use the formula: Area = side × side (or side²).
Step 8: Substitute the side length into the area formula: Area = 10 × 10.
Step 9: Calculate the area: Area = 100 square meters.

Perimeter of a Square – The perimeter of a square is calculated by multiplying the length of one side by 4.
Area of a Square – The area of a square is calculated by squaring the length of one side.