The park in the school, 16m by 12m will be expanded by planting a border of flowering plants. The border will be of the same width around the entire garden. If the total area becomes 285 m², what is the width of the border? (solution po)

Question

The park in the school, 16m by 12m will be expanded by planting a border of flowering plants. The border will be of the same width around the entire garden. If the total area becomes 285 m², what is the width of the border? (solution po) ​

misha1301jb · Answer

Step-by-step explanation:   The problem you've given is a quadratic equation with the mathematical sentence x^{2} +19x-8=0x   2   +19x−8=0 .  Let x be the measure of the border in the entire garden.  Before putting the border:  L=12  W=7  After putting the border: (Add x)  L=12+x  W=7+x  A=92m^{2}92m   2     Since the formula of getting the area of the rectangle is A=LW, we have,  (7+x)(12+x)=92  Multiplying it will give you:84+19x+ x^{2} =9284+19x+x   2   =92  Then, apply Subtraction Property of Equality, subtract 92 to both sides of the equation, and it will give you the result of x^{2} +19x-8=0x   2   +19x−8=0 , which is a quadratic equation.

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