CAIE IGCSE Mathematics Extended E5.2 Area a…meter

Covered syllabus points

E5.2.1 Carry out calculations involving the perimeter and area of a rectangle,

[Maximum number: 1]

Figure for Question 1 — CAIE IGCSE Mathematics Extended

The total of the areas of rectangles A and B is $20\,\mathrm{cm}^2$ .

Find the perimeter of rectangle B.
cm

5.77 or 5.773 to 5.774
FT dependent on $2(\text{positive }x+1)$

[Maximum number: 3]

Figure for Question 2 — CAIE IGCSE Mathematics Extended

This rectangle has perimeter 20 cm.
Find the value of x.

[Maximum number: 3]

Figure for Question 3 — CAIE IGCSE Mathematics Extended

The area of the rectangle is $29\,\mathrm{cm}^2$ greater than the area of the square.
The difference between the perimeters of the two shapes is $k\,\mathrm{cm}$ .
Find the value of k$. You must show all your working. $k=

$x^2-x-30=0$
M1 for $(2x+1)(x-1)-x^2=29$ oe
B1 for $(2x+1)(x-1)=2x^2-2x+x-1$ oe soi
(x-6)(x+5) oe
x=6 cao
12 or $2\times$ their x$ evaluated, or $k=2x stated
B1 FT

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CAIE IGCSE Mathematics Extended E5.2 Area and Perimeter Topic Practice

Covered syllabus points

Question 1

Question 2

Question 3