If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2=196 for s t

Question

If each side of a square patio is increased by 4 feet, the area of the patio would be 196 square feet. Solve the equation (s+4)2=196 for s to find the length of a side of the patio

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Emery 1 week 2021-09-10T08:02:08+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T08:03:50+00:00

    Answer:

    The answer to your question is initial length = 10 ft final length = 14 ft

    Step-by-step explanation:

    Data

    length = s

    Area = 196

    Equation

                            (s + 4)² = 196

    Expand

                            s² + 8s + 16 = 196

    Solve for s

                            s² + 8s + 16 – 196 = 0

                            s² + 8s – 180 = 0

    Factor

                            (s + 18)(s – 10) = 0

    Find s₁ and s₂

                             s₁ + 18 = 0           s₂ – 10 = 0

                             s₁ = -18                s₂ = 10                      

    Conclusion

    The initial length of a side was 10 ft, because the are no negative lengths -18 is discarded.

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