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Two sides of a parallelogram are in the ratio 4:3. If its perimeter is 56cm, find the length of its sides

User Marioosh
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1 Answer

4 votes

Answer:

2 sides 16 cm , 2 sides 12 cm

Explanation:

the opposite sides of a parallelogram are congruent.

given ratio of sides = 4 : 3 = 4x : 3x ( x is a multiplier )

perimeter is the sum of the 4 sides

given perimeter = 56 cm , then

2(4x) + 2(3x) = 56

8x + 6x = 56

14x = 56 ( divide both sides by 14 )

x = 4

then

4x = 4 × 4 = 16

3x = 3 × 4 = 12

2 congruent sides of length 16 cm and 2 congruent sides of 12 cm

User Thangaraj
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