Question

The area of a square field is 900 cm sq . Find the side of the field as well as perimeter.​

Answer 1

Answer:

Let side of square=am

Length of rectangle=lm

Breadth of rectangle=bm

Now, a

2

=900cm^2⇒a=30cm & lb=900cm

2

→1

And, 2(l+b)=4a+2=4×30+2=122m

l+b=61m

From 1,lb=900⇒b=

l

900

⇒l+

l

900

=61⇒l

2

−61l+900=0

l

2

−36l−25l+900=0⇒(l−36)(l−25)=0

⇒l=36,25

∴l=36,b=25

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Answer 2

Answer:

l=36,b=25

Step-by-step explanation:

Let side of square=am

Length of rectangle=lm

Breadth of rectangle=bm

Now, a

2

=900cm^2⇒a=30cm & lb=900cm

2

→1

And, 2(l+b)=4a+2=4×30+2=122m

l+b=61m

From 1,lb=900⇒b=

l

900

⇒l+

l

900

=61⇒l

2

−61l+900=0

l

2

−36l−25l+900=0⇒(l−36)(l−25)=0

⇒l=36,25

∴l=36,b=25