A Garden 7m By 12m Will Be Expanded By Planting A Border Of Flowers. The Borde…

A garden 7m by 12m will be expanded by planting a border of flowers. The border will be the same width around the entire garden and has an area of 92m²

Answer:

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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