The adjacent sides of a parallelogram are in the ratio 5:6. If the perimeter is 44 cm , then
find the measure of each side of the parallelogram
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Question:
The adjacent sides of a parallelogram are in the ratio 5:6. If the perimeter is 44 cm , then find the measure of each side of the parallelogram
Given:
perimeter of parallelogram = 44 cm
Let:
The adjacent sides be 5 x and 6x
We know:
perimeter of parallelogram = 2(side1 +side2)
So:
→44= 2(5x+6x)
→5x+6x=44/2
→11x=22
→x=22/11
→x=2
At last we get x→2
Finally:
- side 1(AB)=5x
- side 1(AB)=5×2
- side 1(AB)=10 cm✓
- side 2 (BC) = 6x
- side 2(BC)=6×2
- side 2(BC)=12cm✓
- side 3(CD)=side 1 (opposite sides of parallelogram are equal)
- .°. side 3(CD)=10cm✓
- side 4(AD)=side 2(opposite sides of parallelogram are equal)
- .°. side 4(AD)=12cm✓
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