Question

The triangles are similar. The area of the larger triangle is 210 ft2. Find the area of the smaller triangle to the nearest whole number.

Answer 1

@Nurali @Luis_Rivera @amistre64 @Hoa @hartnn @Zale101

Answer 2

Area is proportional to SQUARE of side,
so, \(\large \dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}\)
here,
s1= 15, s2 = 6, A2 = 210
you need A1

Answer 3

sorry, s1 = 6, s2 = 15

Answer 4

im confused :( what do I put on a1 and a2? @hartnn

Answer 5

A1 = area of smaller triangle which you need to find.
A2 = 210 ft is are of larger triangle, which is given.

Answer 6

so how do I set up the smaller triangle formula? @hartnn

Answer 7

did you try plugging in ?

Answer 8

\(\large \dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}\implies \large \dfrac{A_1}{210}=\dfrac{6^2}{15^2}\)

Answer 9

these are the answer choices 225 ft2
34 ft2
1,313 ft2
36 ft2

Answer 10

@hartnn

Answer 11

I got 225ft? @hartnn

Answer 12

from that equation, you get
A1 = 210 * 6^2 /15^2
use calculator to find A1

Answer 13

no....try again

Answer 14

I got 168/5 @hartnn

Answer 15

yes, 168/5 is approximately 34 :)

Answer 16

thankkkkk you @hartnn