Hello, Hellooo!

This is how I solved it . . .A rectangular in-ground pool is to be installed.

The engineer estimates that at least 1408 m³ need to be excavated.

What are the minimum dimensions of the excavation

if the depth must be 2m more than one quarter the width

and the length must be 12m more than four times the width?

. Yes!

We are told that: .

Since

. . we have: .

which simplifies to: .

. . which factors: .

and has one real root: .

Therefore: .