Question

puzzle 3
can you find the area of each rectangle and type the correct code? please
remember to type in all caps with no spaces.
puzzle #3
can you find the area of each rectangle?
answer choices
a:
b:
c:
20a + 50b - 30
8a - 16b + 32
15a - 2b - 6
d:
e:
f:
15a - 6b - 6
20a + 5b - 30
8a + 12b + 1
g:
h:
i:
8a - 16b
8a + 12b + 4
20a - 50b - 30
type the 4 - letter
code into the
answer box. all
caps, no spaces.

Explanation:

Step1: Calculate area of blue rectangle

Use formula \(A = length\times width\). Here, \(length = 4\), \(width=2a + 3b+1\).
\(A_1=4\times(2a + 3b + 1)=8a+12b + 4\) (matches option H)

Step2: Calculate area of green rectangle

\(length = 3\), \(width = 5a-2b - 2\)
\(A_2=3\times(5a-2b - 2)=15a-6b-6\) (matches option D)

Step3: Calculate area of yellow rectangle

\(length = 10\), \(width=2a + 5b-3\)
\(A_3=10\times(2a + 5b-3)=20a + 50b-30\) (matches option A)

Step4: Calculate area of red rectangle

\(length = 8\), \(width=a - 2b+4\)
\(A_4=8\times(a - 2b+4)=8a-16b + 32\) (matches option B)

Answer:

H D A B