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Home » Cross-multiply to solve for \( z \): - Ready Digital AB

Cross-multiply to solve for \( z \): - Ready Digital AB

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 h' = \sqrt{100 - \frac{(b+4)^2}{4}}

📌 \frac{1}{2} \times (b + 4) \times h'

📌 \frac{1}{2} \times (b + 4) \times h' - 48

📌 Assuming \(b = 8\) (from solving the quadratic equation derived from area), then:

📌 h = \sqrt{100 - 16} = \sqrt{84} \approx 9.165

📌 The new height \(h'\) becomes:

📌 h' = \sqrt{100 - \frac{(8+4)^2}{4}} = \sqrt{100 - 36} = \sqrt{64} = 8

📌 \frac{1}{2} \times 12 \times 8 = 48

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