Question

A new building is being constructed at UT Austin. It is 200 feet tall, and has a rectangular 100 ft by 150 ft footprint. The building has a walkway that is x feet wide surrounding all tour sides of the building. If the total area (around and including the building) is 16,536 square feet, how wide is the walkway?

Answer 1

A new building is being constructed at UT Austin. The night go the building is 200 ft and has a reetengulas rooft by rsoft footprint. so, the length is 15oft and the width is icofl. The building has a walkway that is a feet wide. as surrounding all your sides of the building. The tolal area around and including the building is 165367 4. So the new length is (150 +22) ft and the new width is (100 12x) ft 15 (100 + 22) (150 +22) = 16536 15000+ 3002 + 2002 + 4x 16536 3 42V + 500x - 1536 = 0 + 2 +125% -384 = 0. * & + 1284 -38 - 384 = 0 mix (*+ 12.89-34:4+128)=0 = (2+128) (n-3) = 0 . 39x +128 = 0 I 2-3 oyan-128o. 23,- so, a gives two values -128 and 3. Here x is a length, so it is not to negetive. o b los a # -128, So, xc 3. 5 I so the walkway Is 3 feet wide.