Question

The dimensions of the old stage at the concert hall were 30ft wide and 15ft deep. The new stage has a total area of 1000 square ft. The dimensions of the new stage were created by adding the same distance x to the width and the depth of the old stage dimensions. What is the value of x?

Answer 1

Length * Width = Area

The dimensions of the old stage at the concert hall were 30ft wide and 15ft deep
=> Length = 15
=> Width = 30

The dimensions of the new stage were created by adding the same distance x to the width and the depth of the old stage dimensions.
=> New Length = 15+X
=> New Width = 30+X

The new stage has a total area of 1000 square ft
=> New Area = 1000

(New Length)*(New Width) = New Area

Solve for X.