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Date May 2019 Marks available 1 Reference code 19M.1.SL.TZ2.T_7
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 2
Command term Write down Question number T_7 Adapted from N/A

Question

The width of a rectangular garden is 4.5 metres shorter than its length, which is x metres.

The perimeter of the garden is 111 m.

Write down an expression for the width of the garden in terms of x .

[1]
a.

Write down an equation for the perimeter of the garden in terms of x .

[1]
b.

Find the value of x .

[2]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

x 4.5      (A1) (C1)

Note: Accept w = x 4.5   OR  width = x 4.5 .

[1 mark]

a.

2 x + 2 ( x 4.5 ) = 111      (A1)(ft) (C1)

Note: Follow through from their expression for the width from part (a).

[1 mark]

b.

4 x 9 = 111  (or equivalent)     (M1)

Note: Award (M1) for correctly removing the parentheses and collecting x terms. This may be seen in part (b).

( x = ) 30      (A1)(ft) (C2)

Note: Follow through from their equation from part (b) provided x > 4.5 .

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Prior learning
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