A metal worker cuts two shapes: a rectangular plate and a triangular plate.
The rectangular plate has dimensions (2x+8)(2x + 8)(2x+8) cm by (2x−3)(2x - 3)(2x−3) cm. The triangular plate has side lengths of (3x+4)(3x + 4)(3x+4) cm, (2x+5)(2x + 5)(2x+5) cm, and (2x+6)(2x + 6)(2x+6) cm.
The total distance around the edge of the rectangle is the same as the total distance around the edge of the triangle.
Work out the value of xxx.
Practise Edexcel GCSE Maths Forming and Solving Equations with exam-style questions for Foundation and Higher tier. 78 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.