If a rectangular region has perimeter p inches and area a square inches, is the region square? (1) p = 4/3*a(2) p = 4âa

(1) Insufficient data

(2) Sufficient data

Step-by-step explanation:

We need to check whether the given data is sufficient or not to prove that a rectangular region has perimeter P inches and area A square inches, is the region square.

Assume that the given conditions are

1.

2.

Area of square is

Taking square root on both sides.

            .... (1)

where a is side length.

Perimeter of square is

           ... (2)

From (1) and (2) we get

It means second condition is sufficient to prove that the rectangle reason is square, because it is true for all.

For a=3,

A=9 and P=12

LHS=RHS

For a=6,

A=36 and P=24

  (False statement)

The first condition is insufficient because it may or may not be true.