If the sum of lengths of two adjacent sides of a parallelogram is 12 cm, then the perimeter of the parallelogram is:
24 cm
To determine the perimeter of a parallelogram, we use the property that opposite sides are equal in length. If the sum of the lengths of two adjacent sides of the parallelogram is 12 cm, we can let these sides be \( a \) and \( b \). Thus, \( a + b = 12 \) cm.
The perimeter of a parallelogram is given by the formula:
\[ P = 2(a + b) \]
Substituting the given sum of adjacent sides into the formula, we have:
\[ P = 2(12) = 24 \text{ cm} \]
Therefore, the perimeter of the parallelogram is 24 cm.
The sides of the rectangle are in the ratio 8 : 10 and its perimeter is 90 cm. The area of this rectangle is:
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