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

help please! the pair of figures to the right are similar. what is the ratio of the-example-1
User Skander
by
4.1k points

1 Answer

5 votes

Answer:

Perimeters = 3 in : 7 in

Areas = 9 in² : 49 in²

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

User Elletlar
by
4.8k points