Question

If a path 3 m wide is laid all round and outside a field of dimensions 25m x 15m, then find the area of the path
Select one:
a. 266 sq m
b. 276 sq m
c. 240 sq m
d. 256 sq m

Answer 1

Answer: 129m2

Step-by-step explanation:

sorry....your options seems to be incorrect.

129m2 is the correct answer but it is not there in the option.

Answer 2

The area of the path is option (b): 276 sq m.

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Let's understand a few concepts:

We will use the following formulas to solve the given problem:

$\boxed{\bold{Area \:of\:a\:rectangle = length \times breadth}}$

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Let's solve the given problem:

Finding the area of the field:

The dimensions of the field:

Length = 25 m

Breadth = 15 m

∴ The area of the rectangular field = 25 m × 15 m = 375 m²

Finding the area of the field along with the path:

The width of the path = 3 m

Since the path is laid all around and outside the rectangular field, therefore the dimensions of the field along with the path will be,

New length = 25 + 3 + 3 = 31 m

New breadth = 15 + 3 + 3 = 21 m

∴ The area of the field along with the path = 31 m × 21 m = 651 m²

Finding the area of the path:

The area of the path is,

= [Area of the field along path] - [Area of the field]

= 651 m² - 375 m²

= 276 m²

Thus, the area of the path is option (b): 276 sq m.

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