<h3>Given</h3>
The current balance is $420.
The current balance is 7/6 of the original balance, b
<h3>Find</h3>
equation to use to find b
<h3>Solution</h3>
Equate the two descriptions of the current balance.
... $420 = (7/6)b . . . . . equation to use to find b
Answer:
ST = 12 units
Step-by-step explanation:
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have:
RS / ST = AR / ET
(21 - ST) / ST = 6 / 8
4 * (21 - ST) = 3*ST
84 - 4*ST = 3*ST
7*ST = 84
ST = 12 units
A = C²/(4π)
A = (56.52 in)²/(4π) ≈ 254.2 in² . . . . the area of the rug