Question

Please help with this answer

Answer 1

(a)

The ratios of corresponding sides are equal

$\frac{13.5}{6.75}$ = 2 ← scale factor

hence w = 2 × 2.3 = 4.6 cm

(b)

The perimeters are linear and will also be proportional with a scale factor of 2

the areas are proportional with scale factor 2² = 4

That is the area of rectangle B is 4 times the area of rectangle A

In general

If 2 figures are similar then linear ratio of sides = k

Then the ratio of their areas is k²

and the ratio of their volumes is k³