A rectangular in-ground pool is to be installed. The engineer overseeing the construction project estimates that at least 1408m^3 of earth and rocks needs 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?

is l x w x d : 44 m by 8 m by 4 m the correct dimensions?

Please help me check. Thanks!!