The perimeter of a rectangular field is 500 m and its length = 150 m.

1.	The perimeter of a rectangular field is 500 m and its length = 150 m. Find:(i) its breadth,(ii) its area.(iii) cost of ploughing the field at the rate of Rs 1.20 per square meter.
Answer» (i) Perimeter of a rectangle = 2 x (length + breadth) ⇒ 500 m = 2x(150 m + breadth) ⇒ 250 m – 150 m = breadth ∴ breadth = 100 m (ii) Area of rectangular field = length x breadth = 150 m x 100 m = 15000 m² (iii) Cost of ploughing the field at the rate of = Rs 1.20 per square m² = area of the field x rate of ploughing = 15000 m² x Rs 1.20 per square metre = Rs 15000 x 1.20 = Rs 18000

The perimeter of a rectangular field is 500 m and its length = 150 m. Find:(i) its breadth,(ii) its area.(iii) cost of ploughing the field at the rate of Rs 1.20 per square meter.

Answer»

(i) Perimeter of a rectangle = 2 x (length + breadth)

⇒ 500 m = 2x(150 m + breadth)

⇒ 250 m – 150 m = breadth

∴ breadth = 100 m

(ii) Area of rectangular field = length x breadth

= 150 m x 100 m = 15000 m²

(iii) Cost of ploughing the field at the rate of

= Rs 1.20 per square m² = area of the field x rate of ploughing = 15000 m² x Rs 1.20 per square metre = Rs 15000 x 1.20 = Rs 18000