Question

area of te path rectangular gardens
12. The length and the breadth of a park are in the ratio 2:1amd its perimeter is
240m. A path 2m wide runs inside it, along its boundry. Find the cost of
paving the path at Rs3 per sq meter.

Answer 1

Answer:1392 RS

Step-by-step explanation:Let x be breath and length is 2x

Perimeter of rectangle =2(L+B)

240=2(x+2x)

X=40 m =breath

Length=2*40=80 m

Outer area of the rectangle=80*40=3200 sq m

Inner area of rectangle=76*36=2736m sq

Area of the path =3200-2736=464m sq

Total cost=3*464=1392 RS. Ans

Answer 2

Answer:

The cost of paving the path is Rs 1488

Step-by-step explanation:

Given as :

The area of rectangular park = 12 m²

∵ area of rectangular park = Length × breadth

The length and breadth are in ratio 2 : 1

Let The length = 2 x  meter

The breadth = x meter

The perimeter of park = 240 meters

∵ Perimeter of rectangular park = 2 (Length + breadth)

i.e 240 = 2 (2 x  + x)

Or, 6 x = 240

∴  x = $\dfrac{240}{6}$

i,e  x = 40

So, The length = 2 x  = 2 × 40 = 80 meter

The breadth = x = 40 meter

Again

A path of 2 m wide run inside it

So, Area of outer rectangle = (80 + 4) (40 +4)

i.e Area of outer rectangle = 3696 m²

And

Area of inner rectangle = 40 × 80 = 3200 m²

Area of the path =  Area of outer rectangle - Area of inner rectangle

∴ Area of path = 3696 m² - 3200 m²

Or, Area of path = 496 m²

Again

The cost of paving the path = Rs 3 per sq meter

So, For 1 sq m the cost of paving = Rs 3

∴  For 496 sq m the cost of paving = Rs 3 × 496

i.e The cost of paving the path = Rs 1488

Hence, The cost of paving the path is Rs 1488 . Answer