Question

41/80 Marks
U 3 4 5 6
36%
4 cm
x cm
B
The area of rectangle ABCD is 28 cm?
a) What is the length of side AB in terms of x?
1
6 cm
1
1
length of AB =
(1)
x cm
D
с
b) If the area of rectangle ABCD is 28 cm?,
we can show that x2 + ax = b where
a and b are integer values.
Work out the values of a and b.
a=
(1)
b =
(1)
Total marks: 3

Answer 1

Answer:

a = 10

b = 4

Step-by-step explanation:

a) AB = 4 + x

b)

(x + 6)(x + 4) = 28

x^2 + 10x + 24 = 28

x^2 + 10x = 4

ax = 10x

a = 10

b = 4