1) My rectangular soccer field site has a length equal to twice its width. Find
ID: 2844387 • Letter: 1
Question
1) My rectangular soccer field site has a length equal to twice its width. Find its area in terms of its length x.
2) My rectangular cabbage patch has a total area of 120 sq. ft. Find its perimeter in terms of the width x.
3) My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $3 per foot, and the fencing for the east and west sides costs $1 per foot. Find the total cost of the fencing as a function of the length of a side x.
Explanation / Answer
1) Length = 2*Width
x = 2*W
W = (x/2)
Area = L*W
= x*(x/2)
= x^2 / 2
2) A = 120
LW = 120
L(x) = 120
=> L = 120 / x
P = 2*(L + W)
= 2*(120/x + x)
= 2*(x^2 + 120) / x
3) Side = x
We have to fence on South, east and West sides.
Cost = 3*x + 1*x + 1*x
= 5x
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