help please! the pair of figures to the right are similar. what is the ratio of the perimeters and the ratio of the areas?
1 answer:
Answer:
Perimeters = 3 in : 7 in
Areas = 9 in² : 49 in²
Step-by-step explanation:
<em>If the figures are </em><em>squares </em><em>, and the measurements are the length of that sides (as you have said), then we will do the following. </em>
[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
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