Question

A rectangular patio whose length is 35 feet and width is 25 feet has to be laid with square tiles whose sides have a length of 5 feet each. How many tiles can we lay on the patio?

• A. 35 tiles
• B. 30 tiles
• C. 40 tiles
• D. 25 tiles

Answer 1

The correct option is A 35 tiles

To find the number of tiles that can be laid, we first need to find the area of the patio as well as that of a tile.

$\underset{–}{\text{Area of the patio:}}$
Length of the patio = 35 feet
Width of the patio = 25 feet

$\therefore$ Area of the patio
= $\text{Length}\times \text{Width}$
= $35\text{square feet}\times 25\text{square feet}$
= 875 square feet

$\underset{–}{\text{Area of a tile:}}$
Length of a side of the tile = 5 feet

$\therefore$ Area of the tile
= $\text{Length of a side}\times \text{Length of a side}$
= $5\text{feet}\times 5\text{feet}$
= 25 square feet

$\text{Number of tiles that can be laid}=\frac{\text{Area of the patio}}{\text{Area of a tile}}$

$=\frac{875\text{square feet}}{25\text{square feet}}$


$\therefore$ 35 tiles can be laid on the patio.