Question

A rectangular lawn measuring 44 m by 32 m
is to be surrounded externally by a path which is
4 m wide. Find the area of the pathy​

Answer 1

Answer:

the area of the path is 672 m²

Step-by-step explanation:

the dimensions of the rectangular lawn is 44 m by 32 m

i.e the length of the lawn = 44m

the breadth of the lawn = 32 m

and the width of the path is 4m

area of the lawn = length × breadth

area of lawn = 44 ×32 = 1408 m²

the length of the outer rectangle = 44+4+4= 52 m

the breadth of the outer rectangle = 32+4+4 = 40 m

then

the area of the outer rectangle = length ×breadth

area of outer rectangle = 52×40 = 2080 m²

area of path = area of outer rectangle - area of inner lawn

area of path = 2080 - 1408 = 672m²

hence the area of the path is 672 m²

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