Question

37. 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 path
A. 248 m
B. 246 m
1088 m
D. 672 m please say with explanation​

Answer 1

Step-by-step explanation:

Given 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 path

Length of inner lawn = 44 m

Breadth of inner lawn = 32 m

Width of path = 4 m

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

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

Area of path = Area of outer rectangle – Area of inner lawn

                    = 52 x 40 – 44 x 32

                    = 2080 – 1408  

                    = 672 sq m

Reference link will be

https://brainly.in/question/1727879

Answer 2

Answer:

Area of the rectangular path will be 672 square meters (Option D).

Step-by-step explanation:

As shown in the figure attached,

Length of the rectangular lawn = 44 m

Width of the lawn = 32 m

Area of this lawn = 44m × 32m = 1408 m²

Now this lawn was surrounded by an external path of width = 4 m

So the length of outer rectangle will become = (44 + 8) = 52m

And width of the outer rectangle will be = 32 + 8 = 40m

Now area of the outer rectangle = 52×40 = 2080 m²

Area of the rectangular path = area of outer rectangle - area of inner rectangle

= 2080 - 1408

= 672 square meters

Therefore, Option D. 672 will be the correct option.

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