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Perimeter of a Rectangle – Mixed Units

publish date: 2026/05/16 20:57:4.378718 UTC

volume_mute

Find the perimeter of the rectangle shown below, in inches.

8 in3 ft⚠ Convert:3 ft = 36 in8 in3 ft

Use the formula \(P = 2l + 2w\). Caution: both dimensions must be in the same unit before substituting.

Correct Answer

88 in

Explanation

First convert 3 ft to inches: \(3 \text{ ft} \times \frac{12 \text{ in}}{1 \text{ ft}} = 36 \text{ in}\)

Now apply the rectangle formula with \(l = 8\) in and \(w = 36\) in:

\[P = 2l + 2w = 2(8) + 2(36) = 16 + 72 = 88 \text{ in}\]

Reference

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