The perimeter of the rectangle is 128 meters, one of the sides is 38 meters. Find the second side and area of the rectangle.
May 8, 2021 | education
| 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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