imath, examples of calculating the dimensions of a square

Example of Gr. 10 Notes

Examples:

The side length of a square is 12 mm . Calculate the

1.1

perimeter of the square.

1.2

area of the square.

1.1

Perimeter = 4 X 1 side perimeter = sum of all four sides ( but they are all equal)

= 4 X 12 mm

= 48 mm

1.2

Area = side²

= 12² mm²

= 144 mm²

The area of a square is 256 mm² . Calculate the

2.1

length of one side.

2.2

perimeter of the square.

2.1

Area = ( 1 side )² OR A = s²

256 cm² = ( 1 side )² 256 cm² = s²

14 cm = 1 side 14 cm = s

2.2

p = 4 X s . . . perimeter = 4 X 1 side ( above )

= 4 X 14 cm

= 56 cm

Exercise 3.4

The side length of a square is 13 cm. Calculate the

1.1

perimeter of the square.

1.2

area of the square.

The sitting room in Mr. Mekhoe’s house is in the form of a square. The area of this room

is 25 m² . Calculate the

2.1

length of one wall of the room.

2.2

perimeter of the room.

The area of a square field is 40 000 m² . The farmer wants to fence in the field by using

5 strands of wire. Calculate the length of the wire, in m, that he needs.