Question

the area of square abcd is 16cm² find the area of square PQRS

Answer 1

Area of ABCD =16

Side=√16

Side=4

Then, CR =CD/2

And CB/2=CQ

Then, by Pythagoras theorem,

2²+2²=side²(of PQRS)

4+4=side²

√8=side²

2√2=side

Area =(2√2)²

Area =8cm²

I hope this much will help you

Answer 2

Given

Area of square ABCD=16cm²

To Find

• Area of the square PQRS

SOLUTION

Area of the square=s×s sq.units

$\implies{\rm}$16=s×s

$\implies{\rm}s=\sqrt{16}$

$\implies{\rm}$s=4cm

We can say that,

$CR= \frac{CD}{2}$

$CQ= \frac{CB}{2}$

By the pythagoras theorem,

Side² = 2² + 2²

side² = 4 + 4

side² = 8

side= $\sqrt{8}$

$side = 2 \sqrt{2}$

$area = {(2 \sqrt{2} )}^{2}$

Area= 8cm²

Hope it helps you...