If triangle RST and RZX are similar then the perimeter of triangle RZX is 150 units.
Given triangle RZX and RST are similar and RZ=28, RY=40,ZY=16 and SW=24.
In the similar triangles the ratio of sides are in proportion to the sides of other triangle.
The ratio of ZY to SW is 16:24 meaning it is 2:3. So all the sides of RST are 1.5 times as long as RZX.
RZ=28 so RS=28*1.5=42
RX=40 so RT=40*1.5=60
ZX=ZY+XY and since they are the of the same length , ZX=32 (ZY given)
Then ST=48
Perimeter of a triangle is the sum of sides of the triangle.
Perimeter of RST=RS+ST+RT
=42+60+48
=150
Hence the perimeter of triangle RST is 150 units.
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Question is incorrect as it should be as under:
Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to RST. RZ=28, RY=40, ZY=16 and SW=24.
Figure should also be given.
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) = years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>
⇒ r = 3.5%
Hence the annual interest rate is 3.5%.