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)=446.203475177 D>0  a1,2=q±D2p=4.7±446.22 a1,2=2.35±10.5617644735 a1=8.21176447353 a2=12.9117644735   Factored form of the equation:  (a8.21176447353)(a+12.9117644735)=0  a>0 a=8.21 m
b=a+4.7=12.91 m

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