Question

a rectangular lawn is to be surrounded externally by a path which is 3 M wide if the dimension of lawn are 35 and 45 find the cost of constructing the path as the rate of 100 per metre square​

Answer 1

Answer :

Rs,51600

Explanation :

Let ABCD be a rectangular lawn of length 35 cm and breadth 45 cm and external path EFGH with 3m width.

$\star \rm \: Area \: of \: rectangle \: ABCD = length \times breadth$

$\sf \hookrightarrow \: 35 \: cm\times 45 \: cm$

$\sf \: Area = \large \boxed{ \sf1575 \: {cm}^{2} }$

Length of rectangle EFGH = 35 + 3 + 3 = 41 cm

Breadth of rectangle EFGH = 45 + 3 + 3 = 51 cm

$\star \rm \: Area \: of \: rectangle \: EFGH \: = length \times breadth$

$\sf \hookrightarrow \: 41 \: cm \times 51 \: cm$

$\sf \: Area = \large \boxed{ \sf2091\: {cm}^{2} }$

Area of Path = Area of EFGH - Area of ABCD

$\hookrightarrow \sf \: (2091 - 1575) {cm}^{2}$

$\sf \: Area = \large \boxed{ \sf516\: {cm}^{2} }$

Cost of constructing the path :

$\star \rm \: Area \: of \: path \times Cost \: per \: metre$

$\hookrightarrow \sf \: 516 \times 100$

$\sf \: Cost \: = \large \boxed{ \sf \: Rs \: 51600}$

Answer 2

QUESTION :-

a rectangular lawn is to be surrounded externally by a path which is 3 M wide if the dimension of lawn are 35 and 45 find the cost of constructing the path as the rate of 100 per metre square.

ANSWER:-

AREA OF INNER REACTANGLE =L×B

=45×35

=1575m².

length of outer rectangle =45+6=51m.

breath of outer rectangle =35+6=41m.

AREA OF OUTER RECTANGLE =L×B

=41×51

=2091m².

.°. AREA OF PATH=AREA OF OUTER RECTANGLE-AREA OF INNER REACTANGLE.

.°.AREA OF PATH=2091-1575

.°.AREA OF PATH=516m².

HENCE,

COST OF PATH =516×100

.°. COST OF PATH =RS.51600.