The side of the rectangle is 36 centimeters and it is 6 times larger than the other side, find the area of this rectangle.

The side of the rectangle is 36 centimeters and it is 6 times larger than the other side, find the area of this rectangle. Find the area of a square that has the same perimeter as a rectangle Find the perimeter of a square whose area is 6 times less than the area of a 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 the second side of the rectangle.

36/6 = 6 cm.

Let’s calculate what the area is equal to.

S = 6 * 36 = 216 sq. Cm.

Let’s calculate the perimeter of the rectangle.

P = 2 * (36 + 6) = 2 * 42 = 84 cm.

Let’s calculate what the side of a square with a perimeter of 84 centimeters is equal to.

a = 84/4 = 42 centimeters.

Let’s calculate the area of ​​the square.

S = 42 * 42 = 1764 sq. Cm.

Let’s calculate the area of ​​the second square.

S2 = 216/6 = 36 centimeters.

Let’s calculate the side of the second square.

a = 6 centimeters.

Let’s calculate the perimeter of the second square.

P = 4 * 6 = 24 cm.

Answer: 216 sq. Cm. 1764 sq. Cm. 24 cm.