The perimeter of a rectangle is 20 cm. Its width is 2 cm. What is its length? how many times is the width less than the length?
| August 15, 2021 | education
The perimeter of a rectangle (the sum of the lengths of all its sides) is found by the formula: P = (a + b) * 2. We know two of the three elements, so we can calculate it if we substitute the perimeter and width under the formula, solving the expression as an equation.
20 = (a + 2) * 2 – open the parenthesis.
20 = 2a + 4 – we transfer all the unknown parts to the left side, and the known ones to the right, the sign changes during the transfer.
– 2a = 4 – 20
– 2a = – 16
a = 8 – length.
a / b = 8/2 = 4 – 4 times the length of the width.
Answer: 8 cm, 4 times.
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