Question

A rectangular lawn measuring 45 m by 32 m is surrounded externally by a path which is 3 m wide. Find the cost of laying grass in the path at Rs 3.50 per m2.

Answer 1

Given:-

• Length of rectangular lawn = 45m

• Breadth of rectangular lawn = 32m

• Width of the path = 3m

• Rate of laying grass = Rs. 3.50 per m².

To Find:-

• Cost of laying grass in the path.

Formula Used:-

• ${\boxed{\bf{\red{Area\:of\: Rectangle=Length \times Breadth}}}}$

Solution:-

Firstly,

Using Formula,

$\sf :\implies Area\:of\: Rectangle = Length \times Breadth$

Putting Values,

$\sf :\implies Area\:of\: Rectangular\:lawn= 45 \times 32$

$\sf :\implies Area\:of\: Rectangular\:lawn= 1,340\:m^2$

After adding the path we got,

• Length = 45 + 3 + 3 = 51m

• Breadth = 32 + 3 + 3 = 38m

Now, the area of lawn including path:-

$\sf :\implies New\:Area= 51 \times 38$

$\sf :\implies New\:Area= 1,938\:m^2$

Area of path = New Area - Area of lawn

Area of path = 1,938 - 1,340

Area of path = 598m²

Now,

Cost of laying grass in the path = 598 × 3.5

Cost of laying grass in the path = Rs. 2,093

Hence, The Cost of laying grass in the path at the rate of Rs 3.50 per m² is Rs. 2,093.

Answer 2

Answer:

The answer is Rs 1,743