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Example1

Title: Area of Square

Grade 6+ Lesson s1-l5

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1 Example2

A square field has a perimeter of 240 m. What is the length of its side and area?

$100%$

Step: 1

The perimeter(P) of a square is P = 4 × s.

The given perimeter of the square field is 240 m.

Explanation:

The perimeter of a square is found by multiplying the length of one side by 4 (P = 4s). Since the given perimeter of the square is 240 m, we can use this formula to find the side length.

Step: 2

Solve for the side length(s):

Divide both sides of the equation by 4:

\$(4s) / 4\$ = \$240/4\$

s = 60 meters

So, the length of each side of the square field is 60 meters.

Explanation:

To find the side length, divide the perimeter by 4 because a square has four equal sides. Therefore, each side of the square is 60 m.

Step: 3

To find the area of the square, use the formula for the area of a square: \$Area(A) = s^2\$.
substitute the values \$A = 60^2\$ = (60 × 60) = 3600 sq.mtrs.
Therefore, the area of a square is 3600 sq.meters.

Explanation:

Now, let’s calculate the area of a square using the formula \$A = s^2\$, where A is the area and s is the length of one side. The value of side(s) is 60, so the area is 3600 sq.mtrs.