Swimming pool

The pool shape of a cuboid is 299 m3, full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.

Correct answer:

a =  8.21 m
b =  12.91 m

Step-by-step explanation:

V=abc=299 m3 c=282 cm=2.82 m  299=a(a+4.7).2.82  a2+4.7a106.028=0  p=1;q=4.7;r=106.028 D=q24pr=4.7241(106.028)=446.2034751773 D>0  a1,2=2pq±D=24.7±446.2 a1,2=2.35±10.561764 a1=8.211764474 a2=12.911764474   Factored form of the equation:  (a8.211764474)(a+12.911764474)=0  a>0 a=8.21 m
b=a+4.7=12.91 m



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