Box There are two cross roads at right angles, each of width 2 m, that run
parallel to the sides of rectangular plot of sides 220 m and 160 m. Find the
area of the roads.
hinnale in wie -
DO -Am and
Answers
Step-by-step explanation:
Since, the cross-roads are at right angles. Therefore, the shape of the cross-roads must be rectangular.
Length of 1st cross-road = 220 m ( Since, it is parallel to side of 220 m of the rectangular plot)
Breadth of 1st cross-road = 2m (given)
Therefore, Area of 1st cross-road = length × breadth
= 220m × 2m
= 440 m^2
Similarly, Length of 2nd cross-road = 160 m ( Since, it is parallel to side of 160 m of the rectangular plot)
Breadth of 2m cross-road = 2m (given)
Therefore, Area of 2nd cross-road = length × breadth
= 160m × 2m
= 320 m^2
The roads intersect each other at 90°. Therefore, they must have an area in common.
Area in common = 2m × 2m
= 4m^2
Area of the roads = (Area of 1st cross-road + Area of 2nd cross-road - Area in common)
= (440 + 320 - 4) m^2
= (760-4) m^2
= 756 m^2
Therefore, Total area of roads = 756m^2.
Hope it helps :)
And, extremely sorry for the delay..