Question

can you determine the answers and type the correct code? please remember to type in all caps with no spaces.
puzzle #4
1 can you find the rectangle’s perimeter in terms of a?
2 if a = 3 centimeters, what is the perimeter of the rectangle, in centimeters?
3 can you find the triangle’s perimeter in terms of b?
4 if b = 6 meters, what is the perimeter of the triangle, in meters?
answer choices
a: 22a - 30
b: 65
c: 10b - 14
d: 42
e: 20a - 18
f: 108
g: 17b + 3
h: 52
i: 105
type the 4 - letter code into the answer box. all caps, no spaces.
your answer

Explanation:

Step1: Find rectangle perimeter (a)

Perimeter formula: $P=2(l+w)$
$P=2[(8a-12)+(2a+3)]=2(10a-9)=20a-18$

Step2: Substitute $a=3$ for rectangle

$P=20(3)-18=60-18=42$

Step3: Find triangle perimeter (b)

Perimeter formula: $P=s_1+s_2+s_3$
$P=(7b-2)+(7b-2)+(3b+7)=17b+3$

Step4: Substitute $b=6$ for triangle

$P=17(6)+3=102+3=105$

Step5: Match to answer choices

1. $20a-18$ = E; 2. 42 = H; 3. $17b+3$ = G; 4. 105 = I

Answer:

EHD I