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Question

A gardener has a cultivated plot that measures 4 feet by 6 feet. Next year, she wants to double the area of her plot by increasing the length and width by x feet. Calculate the value of x.

A
2
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B
1
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C
3
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D
4
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Solution

The correct option is C 2
Area of the current plot = 4×6=24square feet
Next year area of the new plot will be =24×2=48 Square feet.
She wants to increase the length and width by x feet to get the area 48
(x+4)(x+6)=48
x2+10x+24=48
x2+10x24=0
x2+12x2x=24=0
x(x+12)2(x+12)=0
x=12,2
Length and width never be negative so x=2 feet.

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