Q.1. There is a rectangular onion storehouse in a farm. The length of rectangular base is
more than its breadth by 7m and diagonal is more than length by 1m. Find length and
breadth of the storehouse.
with label diagram
more than its breadth by 7m and diagonal is more than length by 1m. Find length and
breadth of the storehouse.
with label diagram
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Let the length be l & breadth be x
l = b+7
diagonals = l 2 +b 2l 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
⇒b2 −2b−15=0
⇒(b−5)(b+3)=0
Since b cannot be negative,
∴ b = 5 & l = 12
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