Question

The length and breadth of a rectangular field are 120 m and 80 m respectively.
(a) Find its area
(b) its perimeter
(c) cost of fencing the field at the rate of 3.50 per metre.
(d) The cost of ploughing the field at 16.50 per m².​

Answer 1

Answer:

Given:-

l=120m

b=80m

A)

Area=l×b

=120m×80m

=9600m^2

Perimeter=2(l+b)

= 2(120m+80m)

= 2(200m)

= 400m

c) Cost of fencing= ₹3.50×Perimeter

=₹3.50×400

= ₹1400

d) Cost of ploughing=₹16.50×Area

=₹16.50×9600

=₹158400

Answer 2

Answer:

(a) Area = 9600 m²

(b) Perimeter = 400 m

(c) Cost of fencing the field = 1400

(d) Cost of ploughing the field = 158,400

Step-by-step explanation:

Area and perimeter of a Rectangle:

• A rectangle is a quadrilateral with two parallel sides equal and four angles equal to right angles.

• The perimeter of a rectangle is defined as the sum of all sides of a rectangle. It is denoted by P.

• If 'l' is the length and 'b' is the breadth of the rectangle, $P=2(l+b)$

• The area of a rectangle is defined as the region covered by the rectangular surface. It is denoted by A.

• $A=l\times b$

Given:

• Length of the rectangular field, $l = 120 \ m$

• Breadth of the rectangular field, $b=80\ m$

• Cost of fencing 1 meter of the field = 3.50

• Cost of ploughing 1 m² of the field = 16.50

Find:

1. Area
2. Perimeter
3. Cost of fencing the field if the rate per meter = 3.50
4. Cost of ploughing the field if the rate per m² = 16.50

Solution:

a) Area = $l \times b$

           = $120 \times 80$

           = $9600 \ m^{2}$

Area of the rectangular field = 9600 m²

b) Perimeter = $2(l+b)$

                     = $2(120+80)$

                     = $2\times 200$

                     = $400$

Perimeter of the rectangular field = 400 m

c) Cost of fencing 1 meter = 3.50

∴ Cost of fencing 400 m rectangular field = $3.50 \times 400$

                                                                      = $1400$

Cost of fencing the field = 1400

d) Cost of ploughing 1 m² area = 16.50

∴ Cost of ploughing 9600 m² rectangular field = $16.50 \times 9600$

                                                                              = $158400$

Cost of ploughing the field = 158,400

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