Question

A rectangular courtyard 3.78 m long and 5.25 m wide is to be paved exactly with square tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose?

Answer 1

This is the answer - 15.96m

Answer 2

Answer:

Number of tiles needed for the purpose = 450

Step-by-step explanation:

Length of the rectangular courtyard = 3.78 m

                                                              = 378 cm

Breadth of rectangular courtyard = 5.25 m

                                                       = 525 cm

To find the side of largest square tile needed = H.C.F.(525,378)

                                                                            = 21

$\text{Number of tiles = }\frac{\text{Area of rectangular courtyard}}{\text{Area of square tile}}\\\\\text{Number of tiles = }\frac{525\times 378}{21^2}\\\\\implies\text{Number of tiles = }450$

Hence, Number of tiles needed for the purpose = 450