10. The length and breadth of a rectangle
are in the ratio 7:4. If the length is
doubled and breath is increased by 6 cm
the ration of the length and breadth
becomes 2:1. find the length and breadth
of rectangle .
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Answer:
let I be the length of rectangle and b be the
breadth of rectangle
=>I:b=7:4
=>l/b=7/4
=>l=7b/4
given length is doubled and the breadth is
increased by 6
=>2l/(b+6)=2/1
=>l/(b+6)=1
substitute I=7b/4
=>7b/4=b+6
=>7b=4b+24
=>3b=24
=>b=8
substitute b =8 in I=7b/4
=>I=7(8)/4
=>l=14
so the length and breadth is 14 and 8
hope it helps
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