The perimeter and the area of a square are k cm and k cm2 respectively

1.	The perimeter and the area of a square are k cm and k cm2 respectively. Find (a) the perimeter, (b) thearea, and (c) the length of a diagonal of the square.
Answer» Let the side of square be a perimeter of square is = 4a = k area of the square is = k² = a² => 4a = a²=> 4a-a² = 0=> a(4-a) = 0=> 4 -a = 0so, a = 4 cm hence perimeter = 4*4 = 16cm and area = (4)² = 16cm² length of diagonal is a√2 = 4√2cm

The perimeter and the area of a square are k cm and k cm2 respectively. Find (a) the perimeter, (b) thearea, and (c) the length of a diagonal of the square.

Answer»

Let the side of square be a perimeter of square is = 4a = k area of the square is = k² = a²

=> 4a = a²=> 4a-a² = 0=> a(4-a) = 0=> 4 -a = 0so, a = 4 cm

hence perimeter = 4*4 = 16cm and area = (4)² = 16cm²

length of diagonal is a√2 = 4√2cm