The area of a square is equal to the area of a rectangle with sides of 60mm and 24cm. What is the side of an
The area of a square is equal to the area of a rectangle with sides of 60mm and 24cm. What is the side of an even triangle, the perimeter of which is half the perimeter of the square?
Given:
The area of the square is equal to the area of the rectangle.
One side of the rectangle is 60 mm.
The second side of the figure is 24 cm.
The perimeter of an equilateral triangle is 2 times less than the perimeter of a square.
Let’s convert millimeters to centimeters:
60 mm = 6 cm.
Let’s calculate the areas of a rectangle and a square:
6 * 24 = 144 cm2.
Find the side of the square:
a = √144 = 12 cm.
Let’s calculate the perimeter of the square:
12 * 4 = 48 cm.
Let’s calculate the perimeter of the triangle:
48: 2 = 24 cm.
Find the side of the triangle:
24: 3 = 8 cm.
Answer: 8 cm.