Algebra 7
2 marks · NormalA rectangular garden has an area of 96 m². The length of the garden is 4 metres longer than its width. Find the width of the garden.
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8 m (±0)
Also accept: 8.0
Common mistakes: 10; 12
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Forms and solves the correct quadratic equation: x(x + 4) = 96 or equivalent.
A1 · 1 mark · States the correct value for the width: 8 (with correct units).
Worked solution
Let the width be x m. The length is x + 4 m.
Factorise:
So x = -12 or x = 8. Lengths cannot be negative, so width = 8 m.