Question

Model the following problem with a quadratic equation. Then solve.

Find the length of a side of a square with an area of 180 ft^2.
Model the problem with a quadratic equation. Let x be the length of a side of the square.

Answer 1

Answer &

Explanation:

area = length(width) = x(x) = x²

180 = x²

x² - 180 (quadratic equation)

Solve:

✓180 = ✓36✓5 = 6✓5 ≈ 13.42 ft = x

Answer 2

`x=6√(5)`

Explanation:

1) A = s²

180 ft² = x²

180 = x²

x = x² -180

x²-180 =0

11) x² - 180 = 0

x² =180

x=
`√(36.5)`

x=
`6√(5)`

hope it helps