Question

there are 24 matchsticks to make a boundary of a park. what will be the largest and shortest area of the park

Answer 1

largest will be 12*12
shortest will be 22*2

Answer 2

GIVEN :

There are 24 matchsticks to make a boundary of a park.

TO FIND:

what will be the largest and shortest area of the park.

SOLUTION :

◆Perimeter of the rectangle is 24 matchsticks.

◆Largest and shortest areas are to be found

◆That is, find two pairs numbers whose sum should be 24 , and product should be the least and highest.

◆Largest area will be when the area is of a square, 12 matchsticks at both sides as length and breadth.

◆Area =.12×12 = 144units.

◆By trial and error method,

Shortest area = 22×2 = 44 units.

ANSWER:

Largest Area =.12×12 = 144units.

Shortest area = 22×2 = 44 units.