Build a rectangle with a perimeter of 18 cm and, in addition, one side: 1) 2 times larger than the other 2) shorter than the other by 4 cm.
Find the sides of a rectangle whose length is twice its width, denoting the width as x cm, making an equation for its perimeter.
(x + 2x) * 2 = 18;
6x = 18;
x = 18/6 = 3 cm.
3 * 2 = 6 cm.
Answer: sides 3 and 6 cm.
Similarly, we will compose an equation for the perimeter of a rectangle whose width is 4 cm shorter than its length.
(x + x + 4) * 2 = 18;
4x + 8 = 18;
4x = 10;
x = 10/4 = 2.5 cm;
2.5 + 4 = 6.5 cm.
Answer: sides 2.5 cm and 6.5 cm.
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