Question

In a square PQRS, if PQ = 5x + 3 and QR = x + 7; find PS
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Answer 1

Answer:

8cm

Step-by-step explanation:

In a square, all sides are equal, so PQ = QR

PQ = 5x + 3

QR = x + 7

So,

5x + 3 = x + 7

5x - x = 7 - 3

4x = 4

Therefore, x = 1

If x = 1,

then,

PQ = 5x + 3 = (5 * 1) + 3 = 8

QR = x + 7 = 1 + 7 = 8

PS = PQ = QR (because all sides are equal in a square.)

SO,

PS = 8cm

Answer 2

Answer:

PS = 8 units

Step-by-step explanation:

PQ = 5x + 3

QR = x + 7

We know that PQ = QR = RS = SP (all sides of square are equal)

=> P = QR => 5x + 3 = x + 7

=> 5x - x = 7 - 3

=> 4x = 4

∴ x = 1

Now, PS = QR (all sides of square are equal)

=> PS = x + 7 => 1 + 7 => 8 units