Question

A floor measuring 7m by 2.8 m is to be covered with square tiles measuring 35cm. How many tiles will be needed?​

Answer 1

Answer:

Length of the floor = 7m

7 × 100 = 700cm

breadth of the floor = 2.8m

2.8 × 100 = 280cm

Now,

Area of the floor = length×breadth unit sq.

Area of the floor = 700 × 280 cm²

Area of the floor = 19600 cm²

Now,

area of a tile is 35 cm²,

Number of tiles required to cover the floor of 19600 cm² are -

Hence, 560 numbers of tiles measuring area 35cm² will cover the floor of area 19600 cm².

Answer 2

$\underline{ \underline{ \Large \pmb{\sf { \purple{Answer:}} }} }$

✰ Number of tiles required is 160 tiles of 0.1225 m² each.

$\underline{ \underline{ \Large \pmb{\sf { \purple{Given:}} }} }$

• Dimensions of the floor = 7 m by 2.8 m

• It is to be covered with square tiles measuring its side 35cm.

$\underline{ \underline{ \Large \pmb{\sf { \purple{To \: calculate:}} }} }$

• Number of tiles needed to tile the floor.

$\underline{ \underline{ \Large \pmb{\sf { \purple{Calculation:}} }} }$

Here, we are provided the dimensions of the floor and the measure of the side of square tiles. To find the the number of tiles needed to tile the floor, we need the area of the floor and the area of each tile. We'll calculate them through the given information. Then we'll assume the number of tiles as x. Also, area of the number of tiles is equal to the area of the floor. So, we'll find the number of tiles by forming an algebraic equation and solving it.

⠀⠀⠀⠀⠀_____________

Let the number of tiles be "x"

• As tiles are tiles on the surface area of the floor. So, here we need to calculate the area of the floor and each tile.

$\dag \underline {\sf\orange { Calculation \: of \: area_{(Each \: tile)} } }$

As we have been given its side that is 35 cm.So, before finding area, let's convert it into metres.

$\mapsto$ 1 cm = 0.01 m

$\mapsto$ 35 cm = 0.35

We know that,

• $\underline{ \boxed{ \small \pmb{\sf { \red{Area_{(Square)} = Side \times Side }} }} }$

$\mapsto \rm { Area_{(Square \: tiles)} = 0.35 \: m \times 0.35 \: m}$

$\mapsto \rm { Area_{(Square \: tiles)} = 0.1225 \: {m}^{2} }$

Henceforth,

• Area covered by each tile is 0.1225 m².

$\dag \underline {\sf\orange { Calculation \: of \: area_{(Floor)} } }$

We are given its dimensions that is 7 m by 2.8 m.

We know that,

• $\underline{ \boxed{ \small \pmb{\sf { \red{Area_{(Rectangle)} = Length \times Breadth }} }} }$

$\mapsto \rm { Area_{(Floor)} = 7 \: m \times 2.8 \: m}$

$\mapsto \rm { Area_{(Floor)} = 19.6 \: {m}^{2} }$

Henceforth,

• Area of the floor is 19.6 m².

Now,

According to the question,

$\mapsto \rm \blue { {Area}_{(Each \: tiles)} \times Number \: of \: tiles = Area_{(Floor) }}$

$\mapsto \rm { 0.1225 \times x = 19.6 }$

$\mapsto \rm { x = \dfrac{19.6}{0.1225} }$

$\mapsto \rm { x = \dfrac{196 \times 10000}{1225 \times 10} }$

$\mapsto \rm { x = \dfrac{1960000}{12250} }$

Cancel denominator & numerator by 10.

$\mapsto \rm { x = \dfrac{196000}{1225} }$

Cancel denominator & numerator by 5.

$\mapsto \rm { x = \dfrac{39200}{245} }$

Cancel denominator & numerator by 5.

$\mapsto \rm { x = \dfrac{7840}{49} }$

Cancel denominator & numerator by 7.

$\mapsto \rm { x = \dfrac{1120}{7} }$

$\mapsto \boxed{ \underline{ \large \pmb{\sf { \red{x = 160}} }} }$

Henceforth,

• Number of tiles required is 160 tiles of 0.1225 m² each.