IDNStudy.com, kung saan nagtatagpo ang mga eksperto para sagutin ang iyong mga tanong. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

Mathematical sentence of: 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 square meters.

Sagot :

Let the width that we would add be x
*Then we have 2x since we add on both the top and bottom, left and right 

We have then:
(2x+7)(2x+12) = 92
(2x+7)(x+6) = 46
2x²+19x+42 = 46
2x²+19x-4 = 0

Using the Quadratic Formula:
x = -19 ± √(19²+32) = -19 ± √(361+32) = -19 ± √393 
                4                          4                     4
We do not consider the negative value since a length is never negative so the width is: √(393) - 19    m
                   4