Question

A carpet is made in length 2m wide. What length is required to cover a floor 8 m long and 5m wide.​
pls show method also

Answer 1

Required answer:-

Question:

• A carpet is made in length 2m wide. What length is required to cover a floor 8 m long and 5m wide.

Solution:

Given,

Length and breadth of carpet:

Length (L) = ?

Breadth (b) = 2m

Length and breadth of floor:

Length (L) = 8m

Breadth = 5m

To find :

★ Length required to cover floor

Let,

★ Length of required carpet be y m

Formulas used :

★ Area of rectangle = Length × breadth

Step by step explaination-

As length of required carpet is y m.

So, Area of required carpet = 2y m².

Now, we have to calculate Area of the floor.

That is,

Area of floor = ( 8 × 5 ) m² = 40 m².

Area of carpet = Area of floor

Therefore,

→ 2y = 40

→ y = 40 / 2

→ y = 20 m

Length of carpet required is 20 m.

Answer 2

Given Question :-

• A carpet is made in length 2m wide. What length is required to cover a floor 8 m long and 5m wide.

ANSWER

GIVEN :-

• A carpet is made in length 2m wide.

• A floor 8 m long and 5m wide.

TO FIND :-

• LENGTH OF CARPET

FORMULA USED -

$\longmapsto \boxed{ \pink{ \bf \:Area_{(rectangle)} = Length \times Breadth }}$

SOLUTION ;-

DIMENSIONS OF FLOOR

• Length of floor, L = 8 m

• Breadth of floor, B = 5 m

$\longmapsto \rm \: Area_{(floor)} = Length \times Breadth$

$\longmapsto \rm \: Area_{(floor)} = 8 \times 5$

$\longmapsto \rm \: \boxed{ \pink{ \bf Area_{(floor)} = 40 \: {m}^{2} }}$

DIMENSIONS OF CARPET

• Breadth of carpet, B = 2 m

• Let Length of carpet be 'L' m.

$\longmapsto \rm \: Area_{(carpet)} \: = \: Length \times 2$

So,

• According to statement,

$\rm :\implies\:Length \times 2 = 40$

$\rm :\implies\:Length = 20 \: m$

$\longmapsto \boxed{ \green{ \bf \: Length \: of \: carpet \: is \: 20 \: m}}$