AI generatedAlgebraKey Stage 3

Forming an equation from a geometric diagram

Forming an equation from a geometric diagram.

  • State the equation before solving it.
  • Follow the operation labels between lines. Apply the same operation to both sides.
  • Substitute the answer into the original equation to check that both sides agree.

Example 1

The rectangle has perimeter 14 cm. Find .

Rectangle, not to scaleNot to scale
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.

Example 2

The rectangle has perimeter 18 cm. Find .

Rectangle, not to scaleNot to scale
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.

Your turn

Question 1

The rectangle has perimeter 22 cm. Find .

Rectangle, not to scaleNot to scale
Check answer
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.
Question 2

The rectangle has perimeter 26 cm. Find .

Rectangle, not to scaleNot to scale
Check answer
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.
Question 3

The rectangle has perimeter 30 cm. Find .

Rectangle, not to scaleNot to scale
Check answer
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.
Question 4

The rectangle has perimeter 34 cm. Find .

Rectangle, not to scaleNot to scale
Check answer
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.
Question 5

The rectangle has perimeter 38 cm. Find .

Rectangle, not to scaleNot to scale
Check answer
Use perimeter = 2 × length + 2 × width. Expand and collect the constants.
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