The sum of the lengths of all sides of a rectangle is 18 cm. What are the lengths
The sum of the lengths of all sides of a rectangle is 18 cm. What are the lengths and widths of such rectangles? what are the areas of these rectangles?
From the condition of the problem, the sum of the lengths of the sides of the rectangle is known, that is, the perimeter is known. The perimeter of a rectangle is the sum of the length and width of the rectangle multiplied by two.
1. What is the sum of the length and width of the rectangle?
18/2 = 9 centimeters.
2. What can be the length and width of the rectangles.
a) 1 cm and 8 cm; b) 2 cm and 7 cm; c) 3 cm and 6 cm; d) 4 cm and 5 cm;
3. What are the areas of the rectangles?
a) 1 * 8 = 8 cm2. b) 2 * 7 = 14 cm2. c) 3 * 6 = 18 cm2. d) 4 * 5 = 20 cm2.
Answer: The length and width of the rectangle can be: a) 1 and 8; b) 2 and 7; c) 3 and 6; 4 and 5 centimeters. The areas of the rectangles are equal: 8 cm2. 14 cm2. 18 cm2. and 20 cm2.