Question

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algebraic expression​

Answer 1

Answer:

2a² - 8a + 7.5

Step-by-step explanation:

Total width = a

Total length = 2a

Total area = 2a × a = 2a²

Length of the Pop-up window = 2a

Width of the Pop-up window = 2.5

Area of the Pop-up window (P) = 2a × 2.5 = 2 × a × 2.5 = 5a

Length of the Research Area = 3

Width of the Research Area = 2a - 2.5

Area of the Research Area (R) = 3 × (2a - 2.5) = 6a - 7.5

Area of the area excluding (P) and (R) is the required area.

So, Area = Total Area - ( P + R)

= 2a² - (5a + 6a - 7.5) = 2a² - (8a - 7.5)

= 2a² - 8a + 7.5

Check it out with a as any number you like! it's correct!!!

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