If the patio is as wide as the fire pit, and 5 feet long then area of backyard can be expressed as [tex]2x^{2}+16x+30[/tex].
Given that the patio is as wide as the fire pit, and 5 feet long.
We are required to form an equation which can describe the area of the backyard.
Equation is relationship between two or more variables that are expressed in equal to form. Equations of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation or many more depending on the powers of the variable.
If we see the figure carefully then we can find that the length of the backyard is 2x+6 and the breadth of the backyard is 5+x and backyard is in shape of rectangle.
Area of rectangle =Length *breadth
=(2x+6)*(5+x)
=30+10x+6x+2[tex]x^{2}[/tex].
Hence if the patio is as wide as the fire pit, and 5 feet long then area of backyard can be expressed as [tex]2x^{2}+16x+30[/tex].
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