Question

11. A rectangular field has a path 5 m wide running round it. If the rectangle formed by the
path and the field is 200 m * 60 m, find
(i) the area of the path, and
(i) the cost of constructing the path at rs 10 per m2.​

Answer 1

Answer:

pass

Step-by-step explanation:

5×200×60=265

ii)20mper²

Answer 2

Answer:-

$\red\bigstar$ Cost of Construction of the path = Rs 25000.

SOLUTION

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$\bigstar$ Area of rectangle = Length (l) × Breadth(b)

AREA OF RECTANGLE ABCD

Length (l) of the rectangle = 200m.

Breadth (b) of the rectangle = 60m.

Area of the rectangle = 200 × 60

Area of the rectangle = 12000m².

AREA OF THE INNER RECTANGLE.

Length (l) of the rectangle  = 200 - (5×2) = 200 - 10 = 190m.

Breadth (b) of the rectangle  = 60 - (5×2) = 60 - 10 = 50m.

Area of the rectangle = 190 × 50

Area of the rectangle = 9500 m².

AREA  OF THE PATH

Area of the path = Area of Rectangle ABCD - Area of inner rectangle

Area of the path = 12000 - 9500

Area of the path = 2500m².

COST OF CONSTRUCTING THE PATH

Rate of  constructing the path = Rs10/m².

Cost of construction = Area of the path × Rate of construction

Cost of construction =  2500 × 10 = Rs25000.