The perimeter of ▭PQRS is 84. Find the length of each side of ▭PQRS under the given conditions: SP = RS2.

The lengths PQ and RS are

The lengths QR and SP are

The lengths PQ and RS are 14 units and The lengths QR and SP are 28 units.

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.