Mathematics : asked on sama3638
 12.10.2020

The total perimeter of the fence is 68 ft and the area is 240 square feet. Based on this information, what are the dimensions of the fence?

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Step-by-step answer

24.06.2023, solved by verified expert
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6ft by 40ft

Step-by-step explanation:

Perimeter = 2(L+W)

Area = LW

L is the length of the fence

W is the width

Given

P = 68ft

A = 240ft²

Substitute into the formula

68 = 2L+2W ... 1

240 = LW... 2

From 1;

34 = L+W

L = 34-W ... 3

Substitute 3 into 2

From 2;

LW = 240

(34-W)W = 240

34W - W² = 240

- W²+34W = 240

W²-34W - 240 = 0

W²+6W-40W - 240 = 0

W(W+6)-40(W+6) = 0

W-40 = 0

W = 40feet

Since

34 = L+W

34 = L + 34

L = 6ft

Hence the dimension of the fence is 6ft by 40ft

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Mathematics
Step-by-step answer
P Answered by PhD

6ft by 40ft

Step-by-step explanation:

Perimeter = 2(L+W)

Area = LW

L is the length of the fence

W is the width

Given

P = 68ft

A = 240ft²

Substitute into the formula

68 = 2L+2W ... 1

240 = LW... 2

From 1;

34 = L+W

L = 34-W ... 3

Substitute 3 into 2

From 2;

LW = 240

(34-W)W = 240

34W - W² = 240

- W²+34W = 240

W²-34W - 240 = 0

W²+6W-40W - 240 = 0

W(W+6)-40(W+6) = 0

W-40 = 0

W = 40feet

Since

34 = L+W

34 = L + 34

L = 6ft

Hence the dimension of the fence is 6ft by 40ft

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
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Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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