The perimeter of the rectangle is 128 meters, one of the sides is 38 meters. Find the second side and area of the rectangle.

First, let’s remember the formula for the perimeter of a rectangle. It looks like:

P = 2a + 2b, where P is the perimeter of the rectangle; a – the length of the rectangle; b is the width of the rectangle.

By convention, we have a perimeter and one side. Substitute these values into the formula and find the length of the second side.

128 = 2 * 38 + 2b;

128 = 76 + 2b;

52 = 2b;

b = 26 (m);

Now, to find the area of a rectangle, you need to multiply the length by the width. That is 26 times 38. We get the following answer:

26 * 38 = 988 (m2).

Answer: the area of the rectangle is 988 m2.



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