Question:
how to solve the sum of perimeter and area
Answer:
Using some examples, you will able to understand how to solve the sum of perimeter and area.
1. Find the perimeter and area of a square of side 11 cm.
Solution:
We know that the perimeter of square = 4 * side
Side= 11 cm
Therefore, perimeter = 4 * 11 cm = 44 cm
Now, area of the square = (side * side) sq. units
= 11 * 11 cm2
= 121 cm2
2. The perimeter of a square is 52 m. Find the area of the square.
Solution:
Perimeter of square = 52 m
But perimeter of square = 4 * side
Therefore, 4 * side = 52 m
Therefore, side= 52/4 m = 13m
Now, the area of the square = (side * side)
Therefore, area of the square = 13 * 13 m² = 169 m2
3. The area of a square is 144 m2 . Find its perimeter.
Solution:
Area of square = side * side
Given; area of square = 144 m2
Therefore, side2 = 144 m2
Therefore, side = √(144) = √(2 * 2 * 2 * 2 * 3 * 3) = 2 * 2 * 3 = 12 m
Now, the perimeter of the square = 4 * side = 4 * 12 m = 48 m
4. The length of the diagonal of a square is 12 cm. Find its area and perimeter.
Solution:
Diagonal of a square = 12 cm
Area of square = 1/2 (d)2
= 1/2 (12)2
= 1/2 * 12 * 12
= 72
Side of a square = √Area
= √72
= √(2 * 2 * 2 * 3 * 3)
= 2 * 3√2
= 6 * 1.41
= 8.46 cm
Perimeter of square = 4 * 8.46 = 33.84 cm
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