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Answer :
Final answer:
The area of a rectangle is found by multiplying its length by its width. The polynomial representing the area of the wall in this case is 8x² + 18x - 35, which is obtained by multiplying the binomials (4x - 5) and (2x + 7) and simplifying.
Explanation:
To find the area of a rectangle, we multiply its length by its width. The rectangle in question has dimensions 4x – 5 (height) and 2x + 7 (length). So, the polynomial representing the area in square units is obtained by multiplying these two linear expressions:
Area = (4x – 5) × (2x + 7)
The multiplication of two binomials can be done using the distributive property (also known as the FOIL method – First, Outside, Inside, Last):
Area = (4x × 2x) + (4x × 7) + (-5 × 2x) + (-5 × 7)
Area = 8x² + 28x - 10x - 35
Simplifying the like terms (28x - 10x) gives:
Area = 8x² + 18x - 35
Therefore, the correct answer is option D: 8x² + 18x - 35.
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Answer:
d
Step-by-step explanation:
you are going to multiply the sides together.
(4x-5)(2x+7) multiply each of the first two terms by each of the second two terms. And then combine like terms.
