Question

the length and breadth of park are in ratio 2:1 it's perimeter is 240m a path 2m wide run inside it along its boundary find the cost of paving the path at rs 80per sq.metre​

Answer 1

AnswEr :

⋆ Reference of Image is in Attachment :

Let the Length be 2x and, Breadth be x.

↦ Perimeter = 2 × (Length + Breadth)

↦ 240 m = 2 × (2x + x)

• Dividing both term by 2

↦ 120 m = (2x + x)

↦ 120 m = 3x

• Dividing both term by 3

↦ x = 40 m

• DIMENSIONS OF OUTER GROUND :

↦ Length = 2x = 2(40) = 80 m

↦ Breadth = x = 40 m

• DIMENSIONS OF INNER GROUND :

↦ Length = 80 - 2(2) = 80 - 4 = 76 m

↦ Breadth = 40 - 2(2) = 40 - 4 = 36 m

_______________________________

• R E Q U I R E D ⠀A R E A :

⇒ Area Required = Outer Area - Inner Area

⇒ Area Required = (L × B) - (l × b)

⇒ Area Required = (80 × 40) - (76 × 36)

⇒ Area Required = (3200 - 2736) m²

⇒ Area Required = 464 m²

━━━━━━━━━━━━━━━━━━━━━━━━

• C O S T ⠀O F ⠀P A V I N G :

↠ Cost = Area Required × Rate

↠ Cost = 464 m² × Rs. 80

↠ Cost = Rs. 37,120

∴ Cost of Paving of Road is Rs. 37,120

#answerwithquality #BAL

Answer 2

Answer:

$\huge{\underline{\mathfrak{Answer\::}}}$

$\textbf{\underline{Given\::}}$

• Length : Breadth = 2 : 1

• Perimeter = 240 m

• Width of path = 2 m [Which is inside the park.]

$\textbf{\underline{To\:Find\::}}$

• Cost of paving the path at 80 per sq.m

$\textbf{\underline{\underline{Solution\::}}}$

Let the length be 2x and the breadth be x

According to question:-

2( 2x + x) = 240

Or, 2 × 3x = 240

Or, 6x = 240

Or, x = 240/6

★ x = 40 m ★

$\rule{300}{1}$

Dimensions:-

Length = 2x =( 2 × 40) m = 80 m ★

Breadth = x = 40 m ★

Area with path = (80 × 40) sq.m

★Area with path = 3200 sq.m

$\rule{300}{2}$

Length without path=80-(2+2) m

= 80 - 4 m

= 76 m

Breadth without path = 40-(2+2) m

= 40-4 m

= 36 m

Area without path = (76 × 36) sq.m

★Area without path = 2736 sq.m

$\rule{300}{2}$

Area of path = Area with path - Area without path

Area path = (3200-2736) sq.m

★ Area of path = 464 sq.m

$\rule{300}{1}$

Cost of paving = Rs.(80 × 464)

★Cost of paving =Rs.37,120

Hope it helps you ♥ ♥ ♥