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. Please answer in detail with diagram and steps.
Answers
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.)
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