The sides of the rectangle are 5 1/3 cm and 8 5/6 cm. Find the perimeter

| September 12, 2021 | education

The sides of the rectangle are 5 1/3 cm and 8 5/6 cm. Find the perimeter of a square with an area of 18/9 cm2. larger than the area of this rectangle.

To solve this problem, recall the formula for the area of a rectangle. The area of the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. Let’s calculate what is equal to the area of a rectangle with sides of 5 1/3 centimeters and 8 5/6 centimeters.

S = 5 1/3 * 8 5/6 = 16/6 * 53/6 = 848/18 = 47 1/9 sq. Cm.

Let’s calculate what is the area of the square.

47 1/9 + 1 8/9 = 56 sq. Cm.

Let’s calculate the length of the side of the square.

a = √56 = √4 * 14 = 2√14 centimeters.

Let’s calculate the perimeter of the square.

P = 4 * 2√14 = 8√14 centimeters.

Answer: 8√14 centimeters.



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