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Forming and Solving Equations

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Question 40

A metal worker cuts two shapes: a rectangular plate and a triangular plate.

The rectangular plate has dimensions $(2 x + 8)$ cm by $(2 x - 3)$ cm. The triangular plate has side lengths of $(3 x + 4)$ cm, $(2 x + 5)$ cm, and $(2 x + 6)$ 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 $x$ .

[3]

Video walkthrough

Forming and Solving Equations Questions

GCSE
Maths
Forming and Solving Equations

139 exam-style questions on OCR GCSE Maths Forming and Solving Equations. Each one has a worked solution and a mark scheme showing where the marks go.

Forming and Solving Equations

Question bank

Forming and Solving Equations

Medium Hard

Question 40

A metal worker cuts two shapes: a rectangular plate and a triangular plate.

The rectangular plate has dimensions $(2 x + 8)$ cm by $(2 x - 3)$ cm. The triangular plate has side lengths of $(3 x + 4)$ cm, $(2 x + 5)$ cm, and $(2 x + 6)$ 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 $x$ .

[3]

Video walkthrough

Forming and Solving Equations Questions

GCSE
Maths
Forming and Solving Equations

139 exam-style questions on OCR GCSE Maths Forming and Solving Equations. Each one has a worked solution and a mark scheme showing where the marks go.