Question

A rectangle measuring 7cm by 4cm is enlarged by ratio 2:1?
a)what's area
1)the original reactangle
2)the enlarged rectangle
b)by what ratio has the area been enlarged

Answer 1

original rectangle:
area = 7(4) cm^2 = 28 cm^2
new rectangle:
area = (14)(8) cm^2 = 112 cm^2

ratio of new to old = 112 : 28 = 4 : 1

The ratio of the areas of similar figures is proportional to the square of their corresponding sides, that is
2^2 : 1^2
= 4 : 1

Answer 2

Mathematics