Question

Four square tiles each of side 12 cm are used to make the bigger tile .Find the perimeter and area of the larger tile​

Answer 1

perimeter of larger tile =192cm

Area of larger tile =576cm²

Step-by-step explanation:

1. Area of larger tile = area of 4 square tiles=4*(12*12)=4*144=576cm²

2: Perimeter of larger tile = 4*perimeter of each tile

=4*(4*12)

=4*48

=192cm

Answer 2

The perimeter and area of the larger tile is 192cm and 576cm² respectively.

Given: Four square tiles each of side 12 cm are used to make the bigger tile.

To find: The perimeter and area of the larger tile.

Solution:

We know,

Perimeter of a square is (4 × side)

And

Area of a square is (side)²

Now,

Perimeter of the smaller tile of side 12cm is = (4 × side)

                                                                        = (4 × 12)

                                                                        = 48

∴ Perimeter of the smaller tile of side 12cm is 48cm.

∵ Four square tiles each of side 12 cm are used to make the bigger tile.

Perimeter of the larger tile = 4 × Perimeter of the smaller tile of side 12cm

                                             = 4 × 48

                                             = 192

∴ Perimeter of the larger tile is 192cm.

Again,

Area of the smaller tile of side 12cm is = (side)²

                                                                = (12)²

                                                                = 144

∴ Area of the smaller tile of side 12cm is 144cm².

∵ Four square tiles each of side 12 cm are used to make the bigger tile.

Area of the larger tile = 4 × Area of the smaller tile of side 12cm

                                    = 4 × 144

                                    = 576

∴ Area of the larger tile is 576cm².

Therefore,

Perimeter of the larger tile is 193cm and Area of the larger tile is 576 cm².

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