Question

pls answer
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with explanation

Answer 1

Answer:

All sides = 18

Step-by-step explanation:

In a square PQRS,

PQ = (5a-17)

QR = 2a + 4

To find -

PS and RS

Solution -

Because PQRS is a square so all sides will equal

PQ = QR = PS = SR

so

PQ = QR

=> 5a - 17 = 2a + 4

=> 5a = 2a +4+17

=> 5a - 2a = 4+17

=> 3a = 21

=> a = 21/3

=> a = 7

2a + 4

= 2(7) + 4

= 14 + 4

= 18

Hence all sides are 18, so PS and SR will also 18.

hope it helps.

Answer 2

In square PQRS,

all sides of a square are equal So

PQ=QR=RS=PS

therefore, PQ =QR

5a - 17 = 2a + 4

5a - 2a = 4 + 17

3a = 21

a = 7 cm

PQ = 5a - 17 = 5×7 - 17 = 35 - 17 => 18 cm

QR = 2a + 4 = 2×7 + 4 = 14 + 4 => 18 cm

therefore, PQ=QR=RS=PS= 18 cm

By Pythagoreans theorem :

(PR)^2 = (PS)^2 + (RS)^2

PR = √(PS)^2 + (RS)^2

PR = √(18)^2 + (18)^2

PR = √324 + 324

PR = √648

PR = √ 2×2×2×3×3×3×3

PR = 2×3×3√2

PR = 18√2 cm

HOPE THIS HELPS

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