What is the measure of a side of a square whose given area is represented as 4x²+28x+49 square meters?
Step 1 : Use the sum product pattern
4x² + + 49
4x² + + + 49
Step 2 : Common factor from the two pairs
4x² + 14x + 14x + 49
2x(2x + 7) + 7(2x + 7)
Step 3 : Rewrite in factored form
(2x + 7)(2x + 7)
Step 4 : Combine to a square
(2x + 7)²
The answer is
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Answers & Comments
What is the measure of a side of a square whose given area is represented as 4x²+28x+49 square meters?
Step 1 : Use the sum product pattern
4x² +
+ 49
4x² +
+
+ 49
Step 2 : Common factor from the two pairs
4x² + 14x + 14x + 49
2x(2x + 7) + 7(2x + 7)
Step 3 : Rewrite in factored form
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
Step 4 : Combine to a square
(2x + 7)(2x + 7)
(2x + 7)²
The answer is![\LARGE\green {(2x + 7)²} \LARGE\green {(2x + 7)²}](https://tex.z-dn.net/?f=%5CLARGE%5Cgreen%20%7B%282x%20%2B%207%29%C2%B2%7D)
What is the measure of a side of a square whose given area is represented as 4x²+28x+49 square meters?
Step 1 : Use the sum product pattern
4x² +
+ 49
4x² +
+
+ 49
Step 2 : Common factor from the two pairs
4x² + 14x + 14x + 49
2x(2x + 7) + 7(2x + 7)
Step 3 : Rewrite in factored form
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
Step 4 : Combine to a square
(2x + 7)(2x + 7)
(2x + 7)²