a rectangular tree lot must have a perimeter of 100 yards and an area of at least 500 square yards. Describe the possible lengths of the tree lot

36.18 yd and 13.82yd

Step-by-step explanation:

Area of the rectangular tree = Length * Width

A = LW

perimeter of the rectangular tree = 2(L+W)

Given

Area = 500 square yards and

perimeter = 100yards, then;

100 = 2L+2W

50 = L+W 1

500= LW ... 2

From 1, W = 50-L

Substitute into 2;

LW =500

L(50-L) = 500

50L-L² = 500

L²-50L + 500 = 0

Factorize

L = 50±√50²-4(500)/2

L = 50±√2500-2000/2

L = 50±√500/2

L = 50±22.36/2

L = 72.36/2 and 27.64/2

L = 36.18 and 13.82

Hence the possible lengths of the tree lot are 36.18 yd and 13.82yd

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step-by-step explanation:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40