Square area 100 cm2. Find the perimeter of a rectangle that has the same area as a square

Square area 100 cm2. Find the perimeter of a rectangle that has the same area as a square if its width is 2 times less than the side of the square.

S square = a * a = a ^ 2, a – side;

a = √S = √t100 = 10 cm;

P pr = c + b + c + b = 2 (c + b), c – width, b – length;

c = a / 2;

c = 10/2 = 5 cm;

b = 100/5 = 20 cm;

P = 2 (5 + 20) = 2 * 25 = 50 cm – the perimeter of the rectangle.

Answer: 50 centimeters.

Explanation: To find the perimeter of a rectangle, you need to find the lengths of its sides. We find the width using the side of the square, knowing that the width is 5 centimeters less. We find the length by dividing the area of the rectangle by its width. Substitute in the formula and calculate.