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If perimeter of a square is 52 cm, then find the area of the square.
- a)163cm2
- b)166cm2
- c)169cm2
- d)172cm2
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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If perimeter of a square is 52 cm, then find the area of the square.a)...
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If perimeter of a square is 52 cm, then find the area of the square.a)...
Given-Perimeter of a square=52cm
To find - Area of square
Perimeter of a squre=4×side unit
52cm=4×side
52cm÷4=side
side=13cm
Area of a square =side×side unit square
=13cm×13cm
=169 cm square
To find - Area of square
Perimeter of a squre=4×side unit
52cm=4×side
52cm÷4=side
side=13cm
Area of a square =side×side unit square
=13cm×13cm
=169 cm square
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If perimeter of a square is 52 cm, then find the area of the square.a)...
Problem:
The perimeter of a square is 52 cm. Find the area of the square.
Solution:
To find the area of the square, we need to know the length of its sides. Let's assume the length of one side of the square is 's'.
Step 1: Find the perimeter of the square
The perimeter of a square is the sum of all its sides. Since all sides of a square are equal, we can find the perimeter by multiplying the length of one side by 4.
Perimeter of the square = 4s
Given that the perimeter of the square is 52 cm, we can write the equation as:
4s = 52
Step 2: Solve the equation for 's'
To find the length of one side, we need to solve the equation for 's'. Divide both sides of the equation by 4 to isolate 's'.
s = 52/4
s = 13 cm
Step 3: Find the area of the square
The area of a square is given by the formula: Area = side * side. Since the length of all sides is 's', we can substitute 's' into the formula.
Area of the square = s * s
Area of the square = 13 cm * 13 cm
Area of the square = 169 cm²
Therefore, the area of the square is 169 cm². Hence, the correct answer is option 'C'.
The perimeter of a square is 52 cm. Find the area of the square.
Solution:
To find the area of the square, we need to know the length of its sides. Let's assume the length of one side of the square is 's'.
Step 1: Find the perimeter of the square
The perimeter of a square is the sum of all its sides. Since all sides of a square are equal, we can find the perimeter by multiplying the length of one side by 4.
Perimeter of the square = 4s
Given that the perimeter of the square is 52 cm, we can write the equation as:
4s = 52
Step 2: Solve the equation for 's'
To find the length of one side, we need to solve the equation for 's'. Divide both sides of the equation by 4 to isolate 's'.
s = 52/4
s = 13 cm
Step 3: Find the area of the square
The area of a square is given by the formula: Area = side * side. Since the length of all sides is 's', we can substitute 's' into the formula.
Area of the square = s * s
Area of the square = 13 cm * 13 cm
Area of the square = 169 cm²
Therefore, the area of the square is 169 cm². Hence, the correct answer is option 'C'.
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