Answer:
Area = 27 cm²
Step-by-step explanation:
let L be the length of the rectangle
w the width
P the perimeter
A the area
<u>Formulas</u> :
P = 2×(L + w)
A = L × w
<u>We are Given</u> :
L = 3w
P = 2×(L + w)
⇔ 24 = 2×(3w + w)
⇔ 24 = 2×4w
⇔ 24 = 8w
⇔ w = 24/8 = 3
Then
L = 3w = 3×3 = 9
We obtain L = 9 and w = 3.
Then
A = L × w
= 9 × 3
= 27
Answer:

Step-by-step explanation:

Answer:
264 miles
Step-by-step explanation:
Find the unit rate (mpg):
66 miles
----------------- = 22 mpg
3 gallons
On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles
Answer: First Option : Sₙ= n/2(a₁ + aₙ)
Step-by-step explanation:
The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.
It is calculated using the formula:
Sₙ= n/2(a₁ + aₙ)
Where :
a₁ = First term
aₙ = last term
n = number of terms