A mathematician has given your friend who is a carpenter, a task of making a rectangular ground floor of a rabbit house. The length of the house is to be (x+3) m and the width ist be (y)m. Its perimeter should be 25m and its area must be 25 m². The mathematician adds that he needs the work to be finished in one day because he has ever contracted 3 men working at the same rate and they only managed to work on an area of 5 m³.

To be given this contract, your friend is required to make a clear diagram showing the numerical sizes of the length and width but fails to do so and comes to you for help. Task:

2) Determine the length and width of the floor to be occupied by the house.
Make a sketch of the floor your friend can present to the mathematician to get the contract.

c) Determine the number of workers who are needed to complete the house if they all work at the same rate as the group the man has ever used.​