7. In parallelogram PQRS, PQ is 8 cm more than QR. If perimeter is 40 cm. Find all the sides.
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Answered by
1
Answer:
Perimeter of ∥gm =40cm
2(PQ+PS)=40cm
2(12+PS)=40
PS=(40/2)−12
PS=8cm
Step-by-step explanation:
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Answered by
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Given : In parallelogram PQRS, PQ is 8 cm more than QR.
perimeter is 40 cm.
To Find : all the sides.
Solution:
In parallelogram , opposite sides are equal in length
Hence PQ = RS
and QR = PS
QR = PS = x
PQ is 8 cm more than QR.
=> PQ = RS = x + 8
Perimeter = PQ + QR + RS + PS
= x + 8 + x + x + 8 + x
= 4x + 16
4x + 16 = 40
=> 4x = 24
=> x = 6
QR = PS = 6 cm
PQ = RS = 14 cm
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