Question

1. A rectangular field is of dimensions 20 m * 15 m. Two paths run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is 2 m and that of the shorter path is 1 m. Find that: (a) area of the paths (b) area of the remaining portion of the field. (c) cost of constructing the roads at the rate of $10 per m² ​

Answer 1

Answer:

MARK ME BRAINLIST

Step-by-step explanation:

Length of the rectangular field L = 20 m Breadth B = 15m Area = L x B 20 x 15 m2 Area of outer rectangle = 300 m2 Area of inner small rectangle = 19 2 192 x 13 2 132 = 61.75 cm2 (i) Area of the path = Area of the outer rectangle – Area of 4 inner small rectangles = (300 – 4(61.75))m2 = (300 – 247) m2 = 53 m2 Area of the paths = 53 m2 (ii) Area of the remaining portion of the field = Area of the outer rectangle – Area of the paths = (300 – 53) m2 = 247 m2 Area of the remaining portion = 247 m2 (iii) Cost of constructing 1 m2 road = Rs 10 ∴ Cost of constructing 53 m2 road = Rs 10 x 53 = Rs 530 ∴ Cost of constructing road = Rs 530Read more on Sarthaks.com - https://www.sarthaks.com/995721/rectangular-field-dimension-paths-parallel-sides-rectangle-through-the-centre-the-field