Area of Square
Area of Square
A square is a quadrilateral in which it has 4 equal sides and all the interior angles of a square are right angles. It is a closed two-dimensional plane figure..
Area of a Square = Side × side = square units
Illustration : Find the area of a square of side length 15 m.
Solution: Area of a square =
Illustration: A square lawn has a side that is 18m long. Find the area of the lawn.
Solution: As side of the square lawn = 18 m
hence, area of the square lawn =
Illustration: A square park is to be watered. If one side of the park is 4.2 m, find the area to be watered?
Solution: Given: Side of the park = 4.2 m
Hence, area of square park to be watered =
Illustration: A square tile is having the side of length 15 cm. How many such tiles would be required to cover the square floor of the bathroom of side 3 m?
Solution: Length of the square tile = 15 cm
Hence, area of the square tile =
Also, the Side of square floor bathroom = 3 m
Hence, area of square floor bathroom =
As area of square tile has units in cm but the units of area of square bathroom is in m.
Hence area of square bathroom in cm = 9 X 100 X 100
Now, the number of tiles required =
Hence 400 tiles are required to cover the floor.
Illustration: To find the side of a square when the area is 196 sq cm.
Solution: Let the side = y cm, Then Area = y X y
According to the question: Area= 196 sq cm
y X y = 196 sq cm OR
y= 14 cm.
Hence the side of the square is 14 cm
Illustration: Find the area of a square of side length 1.55 m.
Solution: Area of a square = =
= 2.4025
Illustration: To find the side of a square when the area is 324 sq m.
Solution: Let the side = y m, Then Area = y X y
According to the question: Area= 324 sq m
y X y = 324 sq m OR
y= 18 m.
Hence the side of the square is 18 m
The ratio of the area of the square to that of the square drawn on its diagonal is ________________________. | |||
| Right Option : B | |||
| View Explanation | |||
If the side of a square room is increased by 20 % then by how much percent does its area gets increased | |||
| Right Option : C | |||
| View Explanation | |||
If the length of the diagonal of a square and that of the side of another square are both 10 cm, the ratio of the area of first square to that of the second is ________________- | |||
| Right Option : A | |||
| View Explanation | |||
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