Question

puzzle #1
can you find the area of each rectangle?
a: 40x + 24
b: 40x + 10
c: 24x - 36
d: 40x + 1
e: 24x - 16
f: 24x - 24
g: 40x + 16
h: 24x - 3
i: 40x - 2
type the 4 - letter code into the answer box. all caps, no spaces.

Explanation:

Step1: Calculate area of blue rectangle

Area of rectangle = length × width. For blue rectangle with length \(10\) and width \(4x + 1\), area \(A_1=10\times(4x + 1)=40x+10\) (matches option B).

Step2: Calculate area of green rectangle

For green rectangle with length \(8\) and width \(5x + 3\), area \(A_2=8\times(5x + 3)=40x+24\) (matches option A).

Step3: Calculate area of yellow rectangle

For yellow rectangle with length \(8\) and width \(3x - 2\), area \(A_3=8\times(3x - 2)=24x-16\) (matches option E).

Step4: Calculate area of red rectangle

For red rectangle with length \(12\) and width \(2x - 3\), area \(A_4=12\times(2x - 3)=24x-36\) (matches option C).

Answer:

BACE