Question

If the length and breadth of a rectangle are tripled, then its perimeter and area are

3 times, 9 times increased
6 times, 6 times increased
none
both doubled
Other:
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Answer 1

Answer:

the perimeter will become 6 times and the area will become 6 times ,as for perimeter explaination will be:-

=2(l+b)

=2(3l+3b)

=6l+6b

=6(l+b)

so perimeter will become 6 times.

and for the area the explaination will be,

=l*b

=3l*3b

=3+3(l*b)

=6(l*b)

Answer 2

Answer:

If the length and breadth of a rectangle are tripled, then its perimeter will increase 3 times and area will increase 9 times.

Step-by-step explanation:

Length of Rectangle = l

Breadth of Rectangle = b

Perimeter of Original Rectangle = 2 ( l + b )

Area of Original Rectangle = l × b

Now,

If Length and breadth of a rectangle are tripled

Therefore,

Length will become = 3l

Breadth will become = 3b

∴Perimeter of New Rectangle  = 2 ( 3l + 3b )

                                                  = 3 × 2 ( l + b )

                                                  = 3 × Perimeter of Original Rectangle

∴ Area of New Rectangle = 3l × 3b

                                          = 9 × l × b

                                          = 9 × Area of Original Rectangle

∴ If the length and breadth of a rectangle are tripled, then its perimeter will increase 3 times and area will increase 9 times.