Question

remember to type in all caps with no spaces.
puzzle #1
can you find the area of each rectangle?
answer choices
a:
b:
c:
40x + 24
40x + 10
24x - 36
d:
e:
f:
40x + 1
24x - 16
24x - 24
g:
h:
i:
40x + 16
24x - 3
40x - 2
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Explanation:

Step1: Calculate area of blue rectangle

Area of rectangle = length × width. For blue rectangle with length \(10\) and width \(4x + 1\), we use distributive property \(a(b + c)=ab+ac\). So, \(10\times(4x + 1)=10\times4x+10\times1 = 40x+10\) (matches option B).

Step2: Calculate area of green rectangle

For green rectangle with length \(8\) and width \(5x + 3\), \(8\times(5x + 3)=8\times5x+8\times3=40x + 24\) (matches option A).

Step3: Calculate area of yellow rectangle

For yellow rectangle with length \(8\) and width \(3x-2\), \(8\times(3x - 2)=8\times3x-8\times2=24x-16\) (matches option E).

Step4: Calculate area of red rectangle

For red rectangle with length \(12\) and width \(2x - 3\), \(12\times(2x - 3)=12\times2x-12\times3=24x-36\) (matches option C).

Answer:

BACE