Question

A rectangular lawn 40 m by 20 m is surrounded all around outside by a path which is 3 m wide. The area of the path is _____ sq. m *
1 point

1100
396
95
1000

Answer 1

$\huge{ \underbrace{ \text{Question}}}$

A rectangular lawn 40m by 20m is surrounded all around outside by a path which is 3m wide. The area of the path is _____ sq. m

• 1100
• 396 ✔
• 95
• 1000

Explanation:-

$\huge{ \underline{ \text{Given}}}$

• The length of the rectangular lawn is 40m
• The breadth of the rectangular lawn is 20m
• And the wide of the path is 3m

$\huge{ \underline{ \text{To \: find}}}$

• The area of the path.

$\huge{ \underline{ \underline{ \text{❣Solution}}}}$

First, we have to know that,

$\large{ \boxed{ \sf{ \blue{Area \: of \: a \: rectangle = (l \times b) \: square \: units}}}}$

Hence,

$\sf{Area \: of \: the \: rectanguar \: lawn = 40m \times 20m}$

$\sf{Area \: of \: the \: rectangular \: lawn =( 40 \times 20)sq.m.}$

$\sf{ \therefore{Area \: of \: the \: rectangular \: lawn = \orange {800sq.m.}}}$

Again,

Length of the rectangular lawn with the path

= (40 + 2×3)m

= 46m

Breadth of the rectangular lawn with the path

= (20 + 2×3)m

= 26m

Hence,

$\sf{Area \: of \: the \: rectangular \: lawn \: with \: the \: path = 46m \times 26m}$

$\sf{Area \: of \: the \: rectangular \: lawn \: with \: the \: path = (46 \times 26)sq.m.}$

$\sf{Area \: of \: the \: rectangular \: lawn \: with \: the \: path = \orange{1196sq.m.}}$

Now,

$\sf{Area \: of \: the \: path = (1196 - 800)sq.m.}$

$\sf{ \therefore{ Area \: of \: the \: path = \green{ \boxed{ \sf{396sq.m.}}}}}$

Hence, area of the path is 396sq.m.

❖Hope this helps you!!