A rectangular field is 25 m in length and 18 m in width. Two mutually perpendicular roads, each 3.5 wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. Calculate the area of the crossroads.
Answers
Step-by-step explanation:
area of road = area of the vertical and horizontal road - area of intersection of two roads
area of cross road = (22×2.5) + (30×2.5) - (2.5×2.5)
Answer:
A rectangular field is 25 m in length and 18 m in width. Two mutually perpendicular roads, each 3.5 wide, are drawn inside the field so that one road is parallel to the length of the field and the other road is parallel to its width. So, Area of cross roads 162.75 sq. m
Step-by-step explanation:
Area of cross roads= area of vertical road+ area of horizontal road - area of intersection of two roads
The area of vertical road = 3.5×18 = 63 sq. m
The area of horizontal road =25×3.5 = 87.5sq. m
The area of intersection of two roads =3.5×3.5 =12.25sq. m
Area of cross roads= area of vertical road+ area of horizontal road - area of intersection of two roads
Area of cross roads= 63 + 87 + 12.25
= 162.75 sq. m