Answer:
Option A : 15x² + 62x + 63 is the correct answer.
Step-by-step explanation:
Given measurements of the figure are:
5x + 9 and 3x + 7
We have to find the area. We can find the area by multiplying the two expressions.
Area = (5x+9) * (3x+7)
Area = 5x (3x+7) +9(3x+7)
Area = 15x² + 35x + 27x + 63
Area = 15x² + 62x + 63
Hence,
Option A : 15x² + 62x + 63 is the correct answer.
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PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
<span>[3 - (4 + 32 * 8) ÷ 4] =
</span>3 - (4 + (32)(8)/ 4)
3 - (4 + 256/ 4)
3 - 260/4
3 - 65
Your answer is -62
Using an arithmetic sequence, it is found that the total length of wood required to make 50 rungs is of 34.6875 m.
<h3>What is an arithmetic sequence?</h3>
- In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:

The sum of the first n terms is given by:

In this problem:
- A ladder has 50 rungs, hence the sequence has 50 terms, that is,
.
- The bottom rung is 1 m long, hence, considering it as the first term,
.
- Each rung is 12,5 mm shorter than the rung beneath it, hence, in meters, the common difference is of
.
Then the 50th term is:

The total length is the <u>sum of the first 50 terms</u>, hence:

The total length of wood required to make 50 rungs is of 34.6875 m.
You can learn more about arithmetic sequence at brainly.com/question/6561461