Question

The L and B of a cuboid are in the ratio of 4 ratio 5 the height and TSA of the cuboid are 18 and 3384 m square respectively find the length and the breadth

Answer 1

Here is your answer.....

Let l=4x
And b=5x
h=18m
TSA=3384
Therefore
TSA=2(lb+bh+hl)
3384=2 (4x×5x+5x×18+18×4x)
3384=2 (20xsquare +90x+72x)
1692=20xsquare +162x
20xsquare +162x-1692=0
10xsquare+81x-846=0
10xsquare +141x-60x-846=0
x (10x+141)-6(10x+141)=0
(x-6)(10x+141)=0
So..x=6
Therefore......l=4×6=24m
And b=5×6=30th

Hope this will help you. ...