A rectangle has length $\frac{2x}{x-1}$ cm and width $\frac{x-1}{4}$ cm. What is the area of the rectangle in its simplest form?

Q: How do I try a free CIE Mathematics question?

Just tap any of the four options on this page — no signup, no card, nothing to install. You'll see the correct answer and a full mark-scheme-style explanation within a second. Each visit shows a fresh randomly-picked question from the live CIE IGCSE Mathematics bank, so you can keep refreshing to try different ones before deciding whether to create a free account for daily access.

Q: Is Kramizo really free for CIE Mathematics students?

Yes — completely free. Every student gets 45 questions a day on the free plan, across any board and any subject, with no card required and no trial countdown. Kramizo's optional Pro plan removes the daily cap and adds analytics, but the free plan is genuinely free forever. We make money from the small percentage of students who choose to upgrade — not from selling data or ads.

Q: Are the Mathematics questions aligned to the CIE IGCSE syllabus?

Every question is written against the published CIE IGCSE Mathematics syllabus and reviewed for accuracy before being added to the bank. We match the command words (state, describe, explain, evaluate), mark allocations, and difficulty tier you'll see on real CIE past papers. Explanations are written in the style of official examiner mark schemes so students learn exactly what marks are being awarded for.

Question

A rectangle has length $\frac{2x}{x-1}$ cm and width $\frac{x-1}{4}$ cm. What is the area of the rectangle in its simplest form?

Accepted Answer

$\frac{x}{2}$ cm² — Award 1 mark for correct multiplication and simplification. Area = $\frac{2x}{x-1} 	imes \frac{x-1}{4} = \frac{2x(x-1)}{4(x-1)} = \frac{2x}{4} = \frac{x}{2}$. B is incorrect — this is not fully simplified. C is incorrect — this results from incorrect cancellation. D is incorrect — this multiplies denominators incorrectly.

Answer

$\frac{x}{2(x-1)^2}$ cm²

Answer

$\frac{8x}{(x-1)^2}$ cm²

Answer

$\frac{2x(x-1)}{4(x-1)}$ cm²

Answer

$\frac{x}{2}$ cm²

One real Mathematics question.No signup. 30 seconds.

One real Mathematics question.
No signup. 30 seconds.