Question

there is a rectangular onion storehouse in the farm of mr. Ratnakarrao at Tivasa. the length of rectangular base is more than its breadth by 7 m and diagonal is more than length by 1 m. Find length and breadth of the storehouse ​

Answer 1

Answer:

ANSWER

Let the length be l & breadth be x

l = b+7

diagonals =

l

2

+b

2

l

2

+b

2

=l+1

substituting the value of l,

(b+7)

2

+b

2

=b+7+1

⇒

b

2

+49+14b+b

2

=b+8

⇒ Squaring both sides:-

2b

2

+14b+49=(b+8)

2

⇒2b

2

+14b+49=b

2

+16b+64

⇒b

2

−2b−15=0

⇒(b−5)(b+3)=0

Since b cannot be negative,

∴ b = 5 & l = 12