Question

a rectangular lawn measuring 15 by 36 is surrounded externally by a path which is 2 metre wide find the area of the path also find the cost of levelling the path of rupees 3.25 per metre square ​

Answer 1

Answer:

The Cost of levelling is Rs. 715.

Step-by-step explanation:

Given :

Measures of the rectangular field = 15 by 36

Path's width = 2 m

Rate of levelling = 3.25 per metre square

To find :

Cost of levelling the path

Solution :

Area of the path = Area of Rectangle PQMN - Area of Rectangle IJKL

$\boxed{\sf{Area\:of\:the\:Rectangle = Length \times Breadth}}$

★ Area of Rectangle IJKL

⇒ 15 × 36

⇒ 540 m²

$\rule{300}{1.5}$

★ Area of Rectangle PQMN

• Length = 36 + (2 + 2) = 36 + 4
• Breadth = 15 + (2 + 2) = 15 + 4

⇒ (36 + 4) × (15 + 4)

⇒ 40 × 19

⇒ 760 m²

$\rule{300}{1.5}$

★ Area of the path

• Area of IJKL = 540 m²
• Area of PQMN = 760 m²

⇒ Area of path = 760 - 540

⇒ Area of the path = 220 m²

$\rule{300}{1.5}$

★ Cost of levelling the path

⇒ Area × Rate of levelling

⇒ 220 × 3.25

⇒ 715

$\therefore$ The Cost of levelling is Rs. 715.

Answer 2

$\large\underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

Measures of rectangular field is 15 by 36

Path's width = 2 m

Rate of levelling = 3.25 ruppes

$\huge \star$ Area of lawn = 15 × 36 = 540 m²

$\huge \star$ Area of total lawn with a path

= (15 + 4) × (36 + 4)

= 19 × 40

= 760 m²

Therefore ,

$\to$Area of a path = 760 - 540

$\to$Area of a path = 220 m²

Now ,

$\to$Cost of levelling the a path

= Area of a path × rate of levelling

= 220 × 3.25

= 715 ruppes

Thus , the cost of levelling is 715 ruppes