Question

A rectangular grassy plot is 112m long and 78m broad.it has a gravel path2.5m wide all around it on the side .find the area of the path an
d the cost of construncting it at 4.50 per square meter ​

Answer 1

Question:-

A rectangular grassy plot in 112m long and 78m broad.It has a gravel path 2.5m wide all around it on the side.Find the area of the path and the cost of constructing it at 4.50 per square meter.

Answer:-

Given,

$\implies$ Length of the Gravel path = 112m

$\implies$ width of the Gravel path = 78m

$\implies$ Wide of the gravel path = 2.5m

To Find,

$\implies$ Area of the path

$\implies$ Cost of constructing it at 4.50 per square meter.

Solution,

we know that,

$\sf{\boxed{Area=Length \: × \:Breadth}}$

Now, substituting the given length and breadth values,

Area = 112m × 78m

$\implies$ ${8736m}^{2}$

In rectangle ABCD:-

Length = 112m + 2.5m + 2.5m

= 117m

Breadth = 78m + 2.5m + 2.5m

= 83m

Area = Length × breadth

= 117m × 83m

= ${9711m}^{2}$

Now,

We are finding area of the path,

Area of the path = Area of ABCD - Area of plot

= ${9711m}^{2}$ - ${8736 m}^{2}$

= ${925m}^{2}$

We are finding the cost of constructing at 4.50 per square meter.

Cost of constructing per 1 square meter = 4.50 /-

Cost of constructing per 925 sq.m = 4.50 × 925 = 4162.5/-

1)Area of path of the plot = 925m^2

2)The total cost for constructing 925 sq.m is 4162.5/-

Answer 2

Answer:

Hey, Here is your answer. The answer is ₹4162.5