The lengths of two adjacent sides of a parallelogram are in the ratio 1:2. If theperimeter of parallelogram is 60cm, then length of its sides are
Question
The lengths of two adjacent sides of a parallelogram are in the ratio 1:2.
If the perimeter of the parallelogram is 60 cm, then the length of its sides are.
Solution
The perimeter of a parallelogram is the sum of the lengths of its four sides. Given that the ratio of the lengths of two adjacent sides is 1:2, we can denote the shorter side as x and the longer side as 2x.
Since a parallelogram has two pairs of equal sides, the perimeter P is given by the formula P = 2x + 2(2x) = 6x.
Setting this equal to the given perimeter of 60 cm, we have 6x = 60. Solving for x gives x = 10 cm.
Therefore, the lengths of the sides of the parallelogram are 10 cm and 20 cm.
Similar Questions
3.In a parallelogram ABCD, E is the midpoint of CD . Find the ratio between the area of △ABE and area of Parallelogram ABCD .
Which calculation gives you the area of this parallelogram in square centimetres?
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
A triangle has lengths the ratio of 3 : 6 : 5. If the longest side is 30 cm, what is the length of the shortest side?
This is a parallelogram.Which shows the parallelogram cut and rearranged into a rectangle?What is the area of the parallelogram? square centimeters
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.