The length and the breadth of a rectangle are in the ratio 7 is to 4 if the length is doubled and the breadth is increased by 6 and the ratio of the length and the breadth becomes 2 is to 1 find the length and the breadth of the rectangle
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Step-by-step explanation:
let l be the length of rectangle and b be the breadth of rectangle
=>l: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 l=7b/4
=>7b/4=b+6
=>7b=4b+24
=>3b=24
=>b=8
substitute b =8 in l=7b/4
=>l=7(8)/4
=>l=14
so the length and breadth is 14 and 8
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