January 3rd, 2011




ANTIQUES MAINE
find the dimensions….and more?

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?

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

Antiques In The Gardens Maine July 2010.mpg


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