If Hammed runs a distance of 7Km and 800m in going around a rectangular stadium ground 3 times, then find the length of the ground if its width is 330m.
Answers
Answer:
Total distance = 7km 800m = 7800m
Width of rectangular stadium = 330m
Length of rectangular stadium = let it be 'L'
No. of rounds made by Hameed = 3
Then,
total distance = no. of rounds × perimeter of rectangular stadium
7800 = 3 × 2(l+b)
7800 = 3 × 2 (L + 330)
7800 = 3 x 2L + 660
7800/3 = 2L + 660
2600 - 660 = 2L
940 = 2L
L = 940/2
L = 470
∴ Length of stadium = 470m
The width of the rectangular stadium is 970 m.
Given:
distance covered by Hammed = 7 km and 800 m
number of rounds covered by Hammed = 3
the width of the rectangular stadium = 330 m
To Find:
the length of the rectangular stadium
Solution:
we know that 1000 m = 1 km
⇒ 800 m = 0.8 km
⇒ 7 km and 800 m = 7.8 km
distance covered in 1 round = 7.8/3 = 2.6 km
⇒ perimeter of the stadium = 2.6 km or 2600 m
let the width of the stadium be w
then, 2(w + 330) = 2600
w + 330 = 1300
w = 970
Thus, the width of the rectangular stadium is 970 m.
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