Question

help please! the pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?

Answer 1

Answer:

Perimeters = 3 in : 7 in

Areas = 9 in² : 49 in²

Step-by-step explanation:

    If the figures are squares, and the measurements are the length of that sides (as you have said), then we will do the following.

[The left square]

P = 4a

P = 4(15)

P = 60 in

-

A = a²

A = 15²

A = 225 in²

[The right square]

P = 4a

P = 4(35)

P = 140 in

-

A = a²

A = (35)²

A = 1,225 in²

[Simplifying ratios]

Perimeters = 60 in : 140 in

Perimeters = 6 in : 14 in

Perimeters = 3 in : 7 in

-

Areas = 225 in² : 1,225 in²

Areas = 45 in² : 245 in²

Areas = 9 in² : 49 in²