IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

a children's park is 350m long and 200m wide. it is surrounded by a pathway of uniform width. suppose the total area of the park and the pathway is 74,464m(squared). how wide is the pathway?

Sagot :

Since we have a uniform width (let the width be w) for the pathway,
74,464 = (350+w)(200+w)
74,464 = 70,000 + 550w + w²
0 = w² + 550w - 4,464
0 = (w-8)(w+558)

Therefore the width would be 8 or -558, but we cannot have a negative value so the uniform width is 8.