The dimensions of a rectangular field are 100 m x 90 m. Four paths pass through the field in such a way that two paths eachOf width 2.5 m parallel to width and two paths each parallel to width of 2 m width. Find out() Total area of the road(ii) The area of the remaining part of the rectangular field.
Answers
Answer:
area of the rectangular field= 100m*90m= 9000m³
area of the two path = 2(l*b) = (90m*2.5m) 2= 225*2= 450m²
area of the other two path= 2(l*b) = 2(90*2) m²= 360m²
now total area of the road = sum of the area of all the roads
= 450m²+360= 810m²
area of the remaining part of the field = area of the rectangular field - sum of all the roads.
= 9000m²-810m²
= 8090m²
if the question is correct thn this is the answer. I felt like two road should be parallel to the length of the rectangular field. and not all the roads are parellel to the width of the rectangular field
Answer:
hope this helps you
Step-by-step explanation:
Let ABCD be the rectangular field with length AB = 100m and breadth BC = 90m
In fig, two paths each of the width 2.5m parallel to the breadth are shown in orange color and two paths each of width 2m parallel to the length are shown in yellow color.
Now, area of orange colored paths = 2 x (2.5 x 90) = 450 m^2
Area of yellow colored paths = 2 x (2 x 100) = 400 m^2
It can be seen that the red colored paths are overlapping four times, so we need to remove it while calculating total area of the path
(1) Total area of path = (area of orange colored paths) + (area of yellow colored paths) – (area of red colored paths)
= (450) + (400) – ( 4 x (2.5 x 2) )
= 450 + 400 – 20
= 830 m^2
Hence, total area of the path is 830 m^2
(2) Total area of rectangular field = 100m x 90m = 9000 m^2
So, area of remaining portion of rectangular field = (total area of rectangular field) – (total area of the path)
= 9000 – 830
= 8170 m^2
Hence, area of the remaining portion of the rectangular field is 8170 m^2
