You are required to work out the dimension ‘x’, as shown on the diagram, to ensure that the planners’ minimum requirements for the roof-top garden are met. Write down a quadratic equation for the area...

You are required to work out the dimension ‘x’, as shown on the diagram, to ensure that the planners’ minimum requirements for the roof-top garden are met.

Write down a quadratic equation for the area of the roof garden in terms of x and the current dimensions of the lift shaft, service ducts and stairwell.

Solve the quadratic equation giving your answer in metres to 1 decimal place.