Step-by-step explanation:
Given,
The perimeter of ▭PQRS = 84
And SP = 2RS
To find, the lengths PQ and RS = ? and
The lengths QR and SP = ?
∴ The perimeter of ▭PQRS = PQ + QR + RS + SP
PQ = RS and QR = SP
The perimeter of ▭PQRS = RS + SP + RS + SP
= 2(RS + SP)
⇒ 2(RS + SP) = 84
⇒ RS + SP = 42
⇒ RS + 2RS = 42
⇒ 3RS = 42
⇒ RS = 14
∴ SP = 2 × 14 = 28
Thus, the lengths PQ and RS are 14 units and The lengths QR and SP are 28 units.
