To discover the area of a an ar of a closed airplane figure, we draw the number on a centimeter squared document and then counting the variety of squares fastened by the figure.

You are watching: Find the side of a square with area of 25 sq. ft.

We know, the square is a rectangle whose length and also breadth are equal. In a square all 4 sides space equal.

In a square the length is same to breadth.

Hence, area that a square = side × side

The number of 1 cm squares enclosed = 4

Area = 4 sq cm

4 = 2 × 2

Hence, area = next × side

 Unit that Side Unit of Area mm square mm (sq mm) or mm2 cm square centimeter (sq cm) or cm2 m square m (sq m) or m2 km square km (sq km) or km2

Note: create finding the area that a given figure, make sure that the sides (length or breadth) space in the very same unit of length. If they are given in different units, adjust them to the exact same unit.

Look at the over figure. You can see the the area that a square having sides 2 centimeter each is same to the area of 4 squares of political parties 1 cm each = 4 cm2. The can likewise be expressed as 2 cm × 2 cm = 4 cm2. Area that a square is 2 time of its each side.

Solved instances to discover the area of a square once side is given:

1. Find the area that a square of side 8 cm.Area of a square = length (l) × length (l)                       = 8 × 8 sq. Cm.                       = 64 sq. Cm.

2. discover the area the a square of next 11 m.

Area of a square = size × length                       = 11 × 11 sq. M.                       = 121 sq. M.

3. find the area of a square of next 49 cm. Area that a square = size × length

= 49 × 49 sq. Cm.                        = 2401 sq. Cm.

4. Find the area that a square of side 50 m. Area the a square = size × length

= 50 × 50 sq. M.                       = 2500 sq. M.

5. find the area the a square photo framework whose side is 20cm.

Area that the photo structure = 20 centimeter × 20 cm

=400 sq. Cm

Questions and also Answers top top Area the a Square:

1. Find the area the the squares through the given side.

(i) 4 cm

(ii) 2.5 cm

(iii) 8 m

(iv) 90 mm

(v) 13.4 km

(i) 16 sq. Cm

(ii) 6.25 sq. Cm

(iii) 64 sq. M

(iv) 8100 sq. M

(v) 179.56 sq. Km

2. Discover the area that the squares whose next is:

(i) 4 cm

(ii) 20 cm

(iii) 6 m

(iv) 200 m

(v) 12 cm

(vi) 40 cm

(i) 16 sq. Cm

(ii) 2500 sq. Cm

(iii) 36 sq. M

(iv) 40000 sq. M

(v) 144 sq. Cm

(vi) 1600 sq. Cm

Word difficulties on Area the a Square:

3. The area of a badminton court is 140 square m. If thebreadth that the court is 7 m, then find its length.

20 m

4. The screen board of class VII A is in the shape of asquare. If the size of its side is 60 cm, then uncover its area.

3600 sq. Cm

Area.

Area that a Rectangle.

Area that a Square.

To uncover Area of a Rectangle as soon as Length and also Breadth space of DifferentUnits.

To discover Length or Breadth as soon as Area of a Rectangle is given.

Areas of irregular Figures.

To find cost of painting or Tilling once Area and also Cost every Unitis given.

To find the number of Bricks or Tiles once Area that Path and Brickis given.

Worksheet top top Area.

Worksheet ~ above Area the a Square and also Rectangle

Practice check on Area.

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