Question

the perimeter of a rectangle is 72cm. Which of the following can be its area?
(1) 315 sq.cm
(2)56 sq. cm
(3)225 sq. cm
(4)300 sq. cm

Answer 1

this question is wrong

Answer 2

Answer:

Step-by-step explanation:

Perimeter of rectangle = 72 cm.

Which means 2(l + b) = 72

∴ l + b = 72/2 = 36 ( ∴ Sum of adjacent sides should be 36 cm  )

So the rectangle could have the following length and width  and thereby it's area calculated further:

35 cm x 1 cm = 35 sq cm

34 cm x 2 cm = 68 sq cm  

33 cm x 3 cm = 99 sq cm

32 cm x 4 cm = 128 sq cm  

31 cm x 5 cm =155 sq cm

30 cm x 6 cm = 180 sq cm  

29 cm x 7 cm = 203 sq cm  

28 cm x 8 cm = 224 sq cm  

27 cm x 9 cm = 243 sq cm

26 cm x 10 cm = 260 sq cm  

25 cm x 11 cm = 275 sq cm  

24 cm x 12 cm = 288 sq cm  

23 cm x 13 cm = 299 sq cm  

22 cm x 14 cm = 308 sq cm

21 cm x 15 cm = 315 sq cm  

20 cm x 16 cm = 320 sq cm

19 cm x 17 cm = 323 sq cm  

18 cm x 18 cm = 324 sq cm.

∴ Out of all the options given, Option (1) i.e. 315 sq cm  is the correct answer.