Question

2. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.

Answer 1

Answer:

a) Yes. Rectangle A is a scaled copy of rectangle B.

b) Yes. Rectangle B is a scaled copy of rectangle A.

d) No. Rectangle A is not a scaled copy of rectangle C.

Step-by-step explanation:

Rectangle A has dimensions 12x8 and

rectangle B has length 15x10

We see that sides of A and B are proportional because

$\frac{12}{15} =\frac{8}{10}$

So we say that since sides are proportional A and B are similar or scaled copy of each other.

Since A is smaller and B is bigger,

A is 0.8 scaled copy of B.

Similarly B has

Enlargement scale factor = 1.25

Rectangle C has 30x15

i.e. not proportion with sides of A and B.

Hence we find that C is neither a scaled copy of A nor B.

Answer 2

Answer:

Rectangle B is a scaled copy of rectangle A.

Enlargement scale factor = 1.25

Step-by-step explanation:

Rectangle A:

Length = 12 units

Width = 8 units

Rectangle B:

Length = 15 units

Width = 10 units

Rectangle C:

Length = 30 units

Width = 15 units

Rectangle B length ÷ rectangle A length = rectangle B width ÷ rectangle A width = 1.25

i.e $\frac{15}{12}$ = $\frac{10}{8}$ = 1.25

Hence rectangle B is a scaled copy of rectangle A and the scale factor of enlargement is 1.25