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Mathematics, 07.12.2020 03:30 mrichardson2880

Algebra 2 Linear Equations w/ One variable The Kahn Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle. The area of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid, which is $\frac{\mathbf{1}}{\mathbf{2}}\mathbit{bh}+\frac{\mathbf{1}}{\mathbf{2}}\left(\mathbit{p}+\mathbit{q}\right)\mathbit{l}.$ The base and the height of the triangle are represented by $\mathbit{b}$ and $\mathbit{h}$ , respectively. The bases of the trapezoid are $\mathbit{p}$ and $\mathbit{q}$ , and the height of the trapezoid is .

Rearrange the formula to find the length of the base $\mathbit{l}$ as a function of the lengths of the other sections of the backyard.

$b=\frac{2A-(p+q)L}{H}$

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