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Two cross roads each of width …

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Two cross roads each of width 10cm,cut at right angles through the center of a rectangular park of length 700m and breath 300m and parallel to its side.find area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectar
  • 2 answers

Prashant Bhati 5 years ago

Mercedes Benz Beiome

Gaurav Seth 5 years ago

Here, PQ = 10 m and PS = 300 m, EH = 10 m and EF = 700 m And KL = 10 m and KN = 10 m

Area of roads

= Area of PQRS + Area of EFGH – Area of KLMN

[∵ KLMN is taken twice, which is to be subtracted]

= PS x PQ + EF x EH – KL x KN

= (300 x 10) + (700 x 10) – (10 x 10)

= 3000 + 7000 – 100

= 9,900 m2

Area of road in hectares,

1 m2 =1/10000 hectares

9,900 m2 =9900/10000

= 0.99 hectares

Now, Area of park excluding cross roads = Area of park – Area of road = (AB x AD) – 9,900

= (700 x 300) – 9,900

= 2,10,000 – 9,900

= 2,00,100 m2

= 200100 hectares = 20.01 hectares

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