1 Give two examples where the area increases as the perimeter increases. 2 Give two examples where the area does not increase when perimeter increases.
Answers
- Give two examples where the area increases as the perimeter increases.
ans:
For example, say you have a rectangle that is 20 x 10, perimeter = 60, area = 200. Increase the perimeter by adding 30 to both long and short sides and you have a rectangle that is 50 x 40, perimeter = 180, area 2,000. Sure enough, you increased the perimeter and the area increased.
- Give two examples where the area does not increase when perimeter increases.
ans:
Let there be a rectangle whose length is 10 cm and breadth is 8 cm. Now, Let there be another rectangle whose length is 20 cm and breadth is 4 cm. So, in the above examples, area does not increase when the perimeter increases.
hope its help u
Solution:-
Let there be a rectangle whose length is 10 cm and breadth is 8 cm.
Area of rectangle = L*B
= 10*8
= 80 sq cm
Perimeter of rectangle = 2(L+B)
= 2(10+8)
= 2*18 = 36 cm
Now,
Let there be another rectangle whose length is 20 cm and breadth is 4 cm.
Area = 20*4
= 80 sq cm
Perimeter = 2(20+4)
= 2*24
= 48 cm
So, in the above examples, area does not increase when the perimeter increases.
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For example,
say you have a rectangle that is 20 x 10, perimeter = 60, area = 200. Increase the perimeter by adding 30 to both long and short sides and you have a rectangle that is 50 x 40, perimeter = 180, area 2,000. Sure enough, you increased the perimeter and the area increased