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a rectangular garden is 45 ft wide and 70 ft long. on a blueprint, the …

Question

a rectangular garden is 45 ft wide and 70 ft long. on a blueprint, the width is 9 in. identify the length on the blueprint.

Explanation:

Step1: Set up proportion

Let \( x \) be the length on the blueprint. The proportion is \(\frac{45}{9}=\frac{70}{x}\) (since the ratio of actual width to blueprint width equals ratio of actual length to blueprint length).

Step2: Cross - multiply

\(45x = 9\times70\).

Step3: Solve for \(x\)

\(45x=630\), then \(x=\frac{630}{45}=14\).

Answer:

14 in