Area = *Longer Side* x *Shorter side*
44 = (x + 7) * x
44 = x^2 + 7x
0 = x^2 + 7x - 44
0 = (x + 11)(x - 4)
0 = x + 11 OR 0 = x - 4
x = -11*impossible* OR x = 4
So x = 4
Trevor invested $ 4720
<em><u>Solution:</u></em>
Given that, Trevor earned $ 826 on account during 2.5% annual interest for seven years
We can simple interest formula
<em><u>The formula for simple interest is given as:</u></em>

Where,
"p" is the principal
"n" is the number of years
"r" is the rate of interest
Here given that,
Principal = p = ?
rate of interest = r = 2.5 %
number of years = n = 7
Simple interest earned = 826
<em><u>Substituting the values in above formula,</u></em>

Thus he invested $ 4720
Answer:
23
Step-by-step explanation:
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b =
← factor numerator and denominator
=
← cancel the factor (x + 5) on numerator/denominator
= 
= 10