Q. Find the perimeter of a square with the following area:
1. Area of the Square = 81 m
- 81 m
- 36 cm
- 49 mm
- 16 dm
- 4 µm
- 9 km
- 25 inches
- 64 nm
1. Area of the Square = 81 m
Also, Area of the Square = ( side )2
∴ ( side )2 = 81 m
side = √ 81 m
= 9 m
∴ Perimeter of the Square = 4 x ( side ) = 4 x 9 m = 36 m
∴ ( side )2 = 81 m
side = √ 81 m
= 9 m
∴ Perimeter of the Square = 4 x ( side ) = 4 x 9 m = 36 m
2. Area of the Square = 36 cm
Also, Area of the Square = ( side )2
∴ ( side )2 = 36 cm
side = √ 36 cm
= 6 cm
∴ Perimeter of the Square = 4 x (side) = 4 x 6 cm = 24 cm
∴ ( side )2 = 36 cm
side = √ 36 cm
= 6 cm
∴ Perimeter of the Square = 4 x (side) = 4 x 6 cm = 24 cm
3. Area of the Square = 49 mm
Also, Area of the Square = ( side )2
∴ ( side )2 = 49 mm
side = √ 49 mm
= 7 mm
∴ Perimeter of the Square = 4 x side = 4 x 7 mm = 28 mm
∴ ( side )2 = 49 mm
side = √ 49 mm
= 7 mm
∴ Perimeter of the Square = 4 x side = 4 x 7 mm = 28 mm
4. Area of the Square = 16 dm
Also, Area of the Square = ( side )2
∴ ( side )2 = 16 dm
side = √ 16 dm
= 4 dm
∴ Perimeter of the Square = 4 x side = 4 x 4 dm = 16 dm
∴ ( side )2 = 16 dm
side = √ 16 dm
= 4 dm
∴ Perimeter of the Square = 4 x side = 4 x 4 dm = 16 dm
5. Area of the Square = 4 µm
Also, Area of the Square = ( side )2
∴ ( side )2 = 4 dm
side = √ 4 dm
= 2 dm
∴ Perimeter of the Square = 4 x side = 4 x 2 dm =8 dm
∴ ( side )2 = 4 dm
side = √ 4 dm
= 2 dm
∴ Perimeter of the Square = 4 x side = 4 x 2 dm =8 dm
6. Area of the Square = 9 km
Also, Area of the Square = ( side )2
∴ ( side )2 = 9 km
side = √ 9 km
= 3 km
∴ Perimeter of the Square = 4 x side = 4 x 3 km = 12 km
∴ ( side )2 = 9 km
side = √ 9 km
= 3 km
∴ Perimeter of the Square = 4 x side = 4 x 3 km = 12 km
7. Area of the Square = 25 inches
Also, Area of the Square = ( side )2
∴ ( side )2 = 25 inches
side = √ 25 inches
= 5 inches
∴ Perimeter of the Square = 4 x side = 4 x 5 inches = 20 inches
∴ ( side )2 = 25 inches
side = √ 25 inches
= 5 inches
∴ Perimeter of the Square = 4 x side = 4 x 5 inches = 20 inches
8. Area of the Square = 64 nm
Also, Area of the Square = ( side )2
∴ ( side )2 = 64 nm
side = √ 64 nm
= 8 nm
∴ Perimeter of the Square = 4 x side = 4 x 8 nm = 32 nm
Q. Find the area of a square with the following perimeter:
∴ ( side )2 = 64 nm
side = √ 64 nm
= 8 nm
∴ Perimeter of the Square = 4 x side = 4 x 8 nm = 32 nm
Q. Find the area of a square with the following perimeter:
- 4 m
- 8 cm
- 12 mm
- 16 dm
- 36 µm
- 40 km
- 44 inches
- 48 nm
Sol.
1. Perimeter of the Square = 4 m
Also, Perimeter of the Square = 4 x ( side )
1. Perimeter of the Square = 4 m
Also, Perimeter of the Square = 4 x ( side )
∴ 4 x ( side ) = 4 m
side = ( 4/4 ) m
= 1 m
∴ Area of the Square = ( side )2 = ( 1 x 1 ) m = 1 m
side = ( 4/4 ) m
= 1 m
∴ Area of the Square = ( side )2 = ( 1 x 1 ) m = 1 m
2. Perimeter of the Square = 8 cm
Also, Perimeter of the Square = 4 x ( side )
Also, Perimeter of the Square = 4 x ( side )
∴ 4 x ( side ) = 8 cm
side = ( 8/4 ) cm
= 2 cm
∴ Area of the Square = ( side )2 = ( 2 x 2 ) cm = 4 cm
side = ( 8/4 ) cm
= 2 cm
∴ Area of the Square = ( side )2 = ( 2 x 2 ) cm = 4 cm
3. Perimeter of the Square = 12 mm
Also, Perimeter of the Square = 4 x ( side )
Also, Perimeter of the Square = 4 x ( side )
∴ 4 x ( side ) = 12 mm
side = ( 12/4 ) mm
= 3 mm
∴ Area of the Square = ( side )2 = ( 3 x 3 ) mm = 9 mm
side = ( 12/4 ) mm
= 3 mm
∴ Area of the Square = ( side )2 = ( 3 x 3 ) mm = 9 mm
4. Perimeter of the Square = 16 dm
Also, Perimeter of the Square = 4 x ( side )
Also, Perimeter of the Square = 4 x ( side )
∴ 4 x ( side ) = 16 dm
side = ( 16/4 ) dm
= 4 dm
∴ Area of the Square = ( side )2 = ( 4 x 4 ) dm = 16 dm
side = ( 16/4 ) dm
= 4 dm
∴ Area of the Square = ( side )2 = ( 4 x 4 ) dm = 16 dm
5. Perimeter of the Square = 36 µm
Also, Perimeter of the Square = 4 x ( side )
Also, Perimeter of the Square = 4 x ( side )
∴ 4 x ( side ) = 36 µm
side = ( 36/4 ) µm
= 9 µm
∴ Area of the Square = ( side )2 = ( 9 x 9 ) µm = 81 µm
side = ( 36/4 ) µm
= 9 µm
∴ Area of the Square = ( side )2 = ( 9 x 9 ) µm = 81 µm
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