Two cross roads each of width 5 m, run at right angles through the centre of a rectangular
park of length 70m and breadth 45m and parallel to its side.
(4marks)
Answer the following questions: (Any4)
Find the area of the roads.
Find the area of the rectangular park.
Find the perimeter of the park.
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Answer
Find the area of road
width = 5m
Length of first parallel roads
Area of first Road 70 × 5 = 350m²
Length of second road 45m
Area of second road = 45 × 5 = 225m²
Area of common part of cross road with 5m width
Centre of the Park 5 × 5 = 25m²
Area of road = Area of first Road + area of second cross road - Common area
= ( 350 + 225 ) - 25
= 575 - 25
= 550m²
Find the area of rectangular park
Area of rectangle = Length × breadth
= 70 × 45
= 3150m²
so,the area of rectangular park is 3150m²
Find the perimeter of rectangular park
Perimeter of rectangle = 2( Length+Breadth)
= 2 ( 70 + 45)
= 2(115)
= 230m
so, the Perimeter of rectangular park is 230m
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