a)A square-shaped tabletop has a perimeter of 120m. Find its area.
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Answer:
900 m^2
Step-by-step explanation:
Given,
perimeter = 120 m
Therefore, each side = 120/4 m = 30 m
Therefore, area = (30 m)^2 = 900 m^2
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Concept
- The perimeter of a square is calculated as the sum of the lengths of its four sides.
- Area of square is the square of its sides
Given
The perimeter of square given is 120cm
Find
We need to find the length of the square
Solution
Given perimeter = 120cm
Therefore Perimeter of square = 4*length
Let the length be x
∴ 4x = 120
∴ x = 30cm
Hence the length is 30cm
As we know square has 4 equal sides = 30cm
So the area of the square = (sides)²
∴ Area of Square = (30)² = 900cm²
Hence the area of square is 900cm²
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