A rectangular storage yard has a length that is 6 m more than its width. If the perimeter is 92 m, find the area.
520 m²
Let the width be \(w\) metres, so the length is \(w + 6\) metres.
The perimeter of a rectangle is \(2(l + w)\), so \(2(w + 6 + w) = 92\).
Simplifying gives \(2(2w + 6) = 92\), so \(4w + 12 = 92\), and \(4w = 80\), giving \(w = 20\) metres.
The length is \(w + 6 = 26\) metres.
The area is \(l \times w = 26 \times 20 = 520\) m².
Hence, the area of the storage yard is 520 m².
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