An oval-shaped ground has a 2m wide lawn around it. If the length and breadth of the ground are 21m and 7m, respectively, find the area of the lawn.
Answers
Answer:
Given :- The oval-shaped ground has a 2m wide lawn around it. If the length and breadth of the ground is 21m and 7m, respectively, find the area of the lawn ?
Solution :-
Let us assume that, ABCD be the oval - shaped ground with length and breadth as 21m and 7m .
So,
→ Length = AB = 21m
→ Breadth = CB = 7m .
then,
→ Area of ground ABCD = length * breadth = 21 * 7 = 147m².
Now, the ground has a 2m wide lawn around it.
So,
→ Length = PQ = 21 + 2(width of lawn) = 21 + 2 * 2 = 21 + 4 = 25 m .
and,
→ Breadth = PS = 7 + 2 * 2 = 7 + 4 = 11 m .
then,
→ Area of PQRS = L * B = 25 * 11 = 275m².
therefore,
→ Area of Lawn = Area of PQRS - Area ot ABCD = 275 - 147 = 128 m². (Ans.)
Step-by-step explanation:
Answer:
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