Merchant Taylors’ 11+ Rectangle & Square Area Question

In this video, Singapore Maths Academy solves Question 34 from Merchant Taylors’ School 11+ Specimen Paper 1, involving a comparison of area between a rectangle and a square.

The square has a side length of 70mm, and the rectangle has a length of 50mm. Since both shapes have the same area, the challenge is to calculate the missing width of the rectangle — a classic question testing area formula knowledge and problem-solving under constraints.

We guide students through the step-by-step method to calculate the area of the square and use that value to determine the width of the rectangle. This type of reasoning question is common in independent school entrance exams and helps strengthen a student’s understanding of how mathematical formulas apply in context.

Perfect for students preparing for Merchant Taylors’ School 11+ maths exams or similar competitive entrance papers.