Question

A rectangular grassy plot 110m by 65m has a gravel path 2.5m wide all round it on the inside. find the cost of graveling the path at 80 paise per Sq m rate ​

Answer 1

Answer:

The cost of Graveling the path is Rs.345

Step-by-step explanation:

Given :

Measure of the rectangular plot = 110 m by 65 m

Gravel path = 2.5 m wide (Inside the ground)

Rate of graveling = 80 paise per m.

To find :

The Cost of graveling

Solution :

Area of the path = Area of the Bigger Rectangle - Area of Smaller Rectangle

$\rule{300}{1}$

Area of Bigger Rectangle =

$\boxed{\sf{Length\times Breadth}}$

$\tt{\implies}\:110\times65\\{\tt{\implies}\:7150\:sq.m}$

∴ The area of the bigger rectangle is 7150 m

Area of Smaller Rectangle =

$\boxed{\sf{Length\times Breadth}}$

Breadth of the rectangle = 65 - 2.5 = 62.5 m

Length of the rectangle = 110 - 2.5 = 107.5 m

$\tt{\implies}\:107.5\times62.5\\{\tt{\implies}\:6718.75\:sq.m}$

$\rule{300}{1}$

Area of the Path =  Area of the Bigger Rectangle - Area of Smaller Rectangle

$\tt{\implies}\:7150-6718.75\\{\tt{\implies}\:431.25\:sq.m}$

Cost of Graveling the path =

$\tt{\implies}\:431.25\times80\\{\tt{\implies}\:34500}$

Cost of Graveling = 34500 paise.

Convert it into Rupees =

$\tt{\implies}\:34500\div100\\{\tt{\implies}\:345}$

∴ The cost of Graveling the path is Rs.345

Answer 2

Explanation:

area of theplot

= 110 * 65

= 7150 sq.m

area of the plot excluding the path

= (110-5)* (65-5)

= 6300 sq.m

area of the path = 7150 - 6300 =850 sq.m

cost of gravelling the path = 850 x (80/100) = 680 Rs