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an achitect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 260 ft of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. a flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 30 feet more than the length of the shortest side. find the dimensions if the perimeter is 102 feet. the cat is a high speed catamaran auto ferry that operates between Bat Harbor, Maine, and Yarmouth, Nova Scotia. The car can make the trip in about 2.5 hours at a speed of 55mph. about how far apart are bar harbor and yarmouth?

Public Comments

1. 1. w= width L= length P=perimeter P=2L+2w from the question it is given that (w)=2/3L and P=260 260=2L+2w 260=2L+2(2/3)L 260=2L + 4/3L 260=10/3L L=78 If L =78 then w is 2/3 x 78= 52 2.I suggest you draw a triangle and mark each side a,b, or c. The problem states that b is twice as long as 'a' or b=2a. It then states that side c is 30ft longer than 'a' or c=30+a. So now all three sides are in terms of 'a'. The problem states that all three sides are equal to 102 so a+b+c=102 >>> or a+2a+(30+a)=102. Solve for 'a' and get a=18. Then use 'a'=18 to plug into b & c. You should get b=36 and c=48. 3. This one is not too bad. If the ferry is travelling at 55mph and it travels for 2.5hrs then you simply multiply 55 x 2.5 and get 137.5 miles.
2. slovesg Hi !! an achitect designs a rectangular flower garden such that the width is exactly two-thirds of the length. if 260 ft of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. Let W = Width L= Length W = 2/3L ← eq 1 Picket Fence = 260 ft Perimeter = 260 = 2(W) + 2(L) ← eq 2 Substitute eq 1 to eq 2 260 = 2(2/3L + L) 130 = 2L/3 + 3L/3 130 = 5L/3 130(3)/5 = L L = 78 ft From eq 1 W = 2/3L W = 2(78)/3 W = 52 ft Summary ========================== Ans:::L = 78 ft & W = 52 ft ========================== a flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 30 feet more than the length of the shortest side. find the dimensions if the perimeter is 102 feet. Let a = Shortest Side = L b = 2L c = L + 30 Perimeter = 102 ft Perimeter of the Triangle = a + b + c 102 = L + 2L + (L + 30) 102 = 4L + 30 4L = 102 - 30 4L = 72 L = 72/4 L = 18 ft b = 2(L) b = 2(18) b = 36 ft c = L + 30 c = 18 + 30 c = 48 ft Summary ================================================== Ans::: a (Shortest Side) = 18 , c(Longest Side) = 48 ft & b(med-side) = 36 ft ================================================== the cat is a high speed catamaran auto ferry that operates between Bat Harbor, Maine, and Yarmouth, Nova Scotia. The car can make the trip in about 2.5 hours at a speed of 55mph. about how far apart are bar harbor and yarmouth? Assuming that the time given will be time traveled between Bas Harbor and Yamouth = 2.5 Hour Speed of the car = 55 mph Distance between Bas Harbor and Yarmouth = 55 x 2.5 =================================================== Ans::Distance between Bas Harbor and Yarmouth = 137.5 miles =================================================== hope this helps