SOLUTION: where did you get the 2x in the problem a garden 7m by 12m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has a

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Question 976256: where did you get the 2x in the problem a garden 7m by 12m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92 meters squared.? I will wait for your answer Thank you :)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing on paper or chalkboard is easier than using the compose-field in the algebra dot com system,
but MAKE THE DRAWING. You have a rectangle garden of 7 meters by 12 meters. Extend the 7 meters
by x meters in both directions; and extend the 12 meters also by x in both directions. This gives
you an outer rectangle and the uniform width of the border, the region between the two rectangles,
is x IN BOTH directions. The outer dimensions of the extended garden with the border are
(7+2x) and (12+2x).

Does your border area have 92 square meters?

Area of border AND garden, %287%2B2x%29%2812%2B2x%29
Area of just garden without border, 7%2A12
Area of JUST the border, highlight_green%28%287%2B2x%29%2812%2B2x%29-7%2A12=92%29

Simplify and solve for x.