# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#6

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**Question**

**a) **Write in the form

A rectangle R has a length of ^{2}.

**b) **Calculate the width of R in cm. Express your answer in the form

**Solution**

**a. **

Since

**b. **

We are given that the rectangle R has length of ^{2}.

We are required to find the width of the rectangle R.

Expression for the area of the rectangle with length

Therefore;

As demonstrated in (a);

Hence;

If we need a rational number in the denominator of a fraction, we need to follow procedure of “denominator rationalization” as given below.

ü If the denominator is of the form

ü If the denominator is of the form

ü If the denominator is of the form

We have algebraic formula;

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