The width of the rectangle is 2 cm. What is its length if the perimeter is 8 cm?
February 26, 2021 | education
| The perimeter of a rectangle is the sum of the lengths of all its sides and is calculated by the formula:
P = 2 * a + 2 * b, or P = 2 * (a + b);
where a is the width, b is the length.
In our task, the width and perimeter are indicated, in order to find the length, we substitute these data into the formula and solve the resulting equation:
8 = 2 * (2 + b);
2 + b = 8: 2;
2 + b = 4;
b = 4 – 2;
b = 2 (cm).
Let’s check if we decided correctly and substitute the found length into the formula:
P = 2 * (2 + 2) = 2 * 4 = 8.
Answer: the length of the rectangle is 2 cm.
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