Question

26.A Rectangular field 90 m long and 70 m wide has 3 m wide path inside the field and along the sides of the field . Find the area of path and the cost of construction at the rate of Rs 20 per square meter .​

Answer 1

Answer:

90*70=6300

6300 * 3=18900

378000

Step-by-step explanation:

Answer 2

Given:

A Rectangular field 90 m long and 70 m wide has a 3 m wide path inside the field and along the sides of the field.

To Find:

Find the area of path and the cost of construction at the rate of Rs 20 per square meter.​

Solution:

It is given that the field has dimensions 90m*70m, so to find the area of the field we will use the formula as,

$A=l*b$

where,

          l= length

          b= breadth

Now the area will be,

$A=90*70\\=6300m^2$

Because a path of 3m is being created then the dimensions for the inner field will be,

length=90-3-3

          =84m

breadth=70-3-3

            =64m

So the area of the inner field will be,

$A=84*64\\=5376m^2$

Now the area of the path will be the area of the field minus the area of the inner field,

$A=6300-5376\\=924m^2$

So the cost of construction at Rs20/sq.m will be,

$Cost=20*924\\=Rs18480$

Hence, the cost of the construction of the path will be Rs18480.