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Question

 A rectangular supermarket, 90 m. by 60 m, is to be built on a city block having an area of 15 400 square metres. There is to be a uniform strip around the building for parking. How wide is the strip? Draw a diagram.

Answer 1

15400 - 90(60)

= 15400-5400

= 10,000 m^2 = the area of the uniform strip

= 2(90+2w)w + 2(60w) = 180w +4w^2 + 120w = 4w^2 +300w= 10,000

w^2 + 75w = 2500

w = -75/2 + (1/2)sqr(75^2 +10,000)

= -36.5 + .5sqr(15,625)

=-36.5 + 62.5 = 26 meters wide for the uniform strip