Question

The length of a workshop is twice its width . if the diagonal is 10√5 metres . find the perimeter and area of workshop.

Answer 1

Answer:Perimeter=60m

Area=200m²

Step-by-step explanation:

The diagonal of a rectangle is given by the formula

d²=l²+b²

d=10√5 metres

And l=2b

Therefore,

(10√5)²=(2b)²+b²

500=4b²+b²

500=5b²

b²=500/5

=100

So,

b=√100

=10m

l=2b

=2*10

=20m

So,

Perimeter=2(l+b)

=2(20+10)

=2(30)=60 m

Area =l*b

=20*10=200m²

Hope it is clear...

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