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Algebra

Rearranging Formulae

Make a chosen letter the subject by applying inverse operations while keeping both sides balanced.

Curriculum rangeYears 8–11

Make ww the subject of P=2l+2wP = 2l + 2w. Whatever you do to one side, do to the other -- working backwards through the order of operations.

Start: P=2l+2wP = 2l + 2w

Subtract 2l2l from both sides: P−2l=2wP - 2l = 2w

Divide both sides by 2: w=P−2l2w = \dfrac{P - 2l}{2}