[Solution Library] Construction. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400
Question: Construction. A garden area is \(30 \mathrm{ft}\) long and \(20 \mathrm{ft}\) wide. A path of uniform width is set around the edge. If the remaining garden area is \(400 \mathrm{ft}^{2}\), what is the width of the path?
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(Solution Library) Consider the mapping R^4→ R^3 defined by
![[Solution Library] Let P be a vector](/images/solutions/MC-solution-library-40581.jpg "[Solution Library] Let P be a vector space generated by the set: S=(0,1,1),(1,2,3),(3,-1,2)")
[Solution Library] Let P be a vector space generated by the set: S=(0,1,1),(1,2,3),(3,-1,2)
![[See Steps] Let u=(u_1,u_2) and v=(v_1,v_2) be](/images/solutions/MC-solution-library-40582.jpg "[See Steps] Let u=(u_1,u_2) and v=(v_1,v_2) be vectors is R^2, and")
[See Steps] Let u=(u_1,u_2) and v=(v_1,v_2) be vectors is R^2, and
![[See Solution] Suppose a mapping from R^2](/images/solutions/MC-solution-library-40583.jpg "[See Solution] Suppose a mapping from R^2 to R^2 is defined by some 2x2")
[See Solution] Suppose a mapping from R^2 to R^2 is defined by some 2x2
(Steps Shown) Consider the matrix
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