A Garden 7m By 12m Will Be Expanded By Planting A Border 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 92m²
The problem you’ve given is a quadratic equation with the mathematical sentence [tex] x^{2} +19x-8=0[/tex].
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=[tex] 92m^{2} [/tex]
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:[tex]84+19x+ x^{2} =92[/tex]
Then, apply Subtraction Property of Equality, subtract 92 to both sides of the equation, and it will give you the result of [tex] x^{2} +19x-8=0[/tex], which is a quadratic equation.
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