Question

find the number of marble slabs each of dimension 40 cm into 20 cm to be laid around a square Park of side a team to a width of 2 metre​

Answer 1

The number of marbles is 4032.

Step-by-step explanation:

The dimension of marble slabs is 40 cm× 20 cm.

The area of marble slab is A=l\times bA=l×b

A_m=40\times 20A

m

=40×20

A_m=800\ cmA

m

=800 cm

The square Park of side 18 m to a width of 2 cm.

Convert 18 m into cm,

1\ m = 100\ cm1 m=100 cm

18\ m = 1800\ cm18 m=1800 cm

The actual side of square is s=1800-2-2=1796\ cms=1800−2−2=1796 cm

The area of the square is A=s^2A=s

2

A_s=1796^2A

s

=1796

2

A_s=3225616A

s

=3225616

The number of marbles is given by,

n=\frac{A_s}{A_m}n=

A

m

A

s

n=\frac{3225616}{800}n=

800

3225616

n=4032.02n=4032.02

Therefore, the number of marbles is 4032.

Answer 2

$\huge\underline{\overline{\mid{\bold{\blue{\mathcal{ANSWER}}\mid}}}}$

Formula for Area of square = $a^{2}$

Area of the square park $=> 2 \times 2 => 4m^{2}$

Formula for area of rectangle = $L \times B$

Area of the marble slab = $40 \times 20 => 800cm^{2}$

$\bold{1m^{2} = 10000cm^{2}}$

$4m^{2} = 40000cm^{2}$

Number of marble slabs that can be laid on that square park = $\frac{40000cm^{2}}{800cm^{2}} => 50$

Hence, 50 marble slabs can be laid on that square park.