ii) There is a rectangular onion storehouse in the farm of Mr. Ratnakarrao base is more than its breadth by 7m and diagonal is more than length by 1m. Find the lingth and breadth of the storehouse.
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Answer:
b = 5 & l = 12
Step-by-step explanation:
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
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