Question

A rectangular grassy plotis 75 m long and 45 m broad. It has a path of width 2 m all around it on the inside
Find the area of the path and the cost of constructing it at 175 per m
​

Answer 1

Answer:

Area of the path: 464m²

Cost: ₹ 81,200. 00

Step-by-step explanation:

The original length of the field is 75m and the width is 45m.

Calculate for length of the field after the construction:

$\tt{} = 75 - 2 \times 2$

$\tt{} = 75 - 4$

$\underline{ \tt{} = 71m \: \: }$

Calculate the width after the construction:

$\tt{} = 45 - 2 \times 2$

$\tt{} = 45 - 4$

$\underline{ \tt{} = 41m \: \: }$

Calculate the original area of the field.

$\tt{} = 75 \times 45$

$\tt{} = 3375m {}^{2}$

Calculate for the area of the field after the construction:

$\tt{} = 71 \times 41$

$\tt{} = 2911m {}^{2}$

Now, subtract the area of the field after the construction to the original area of the link to find the area of the path:

$\tt{} = 3375 - 2911$

$\tt{} = 464m {}^{2}$

To find the total cost of construction, multiply the the area of the path to the cost cost per m²:

$\tt{} = 175 \times 464$

$\boxed{ \huge \boxed{ \tt{} = 81200}}$