A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of t
he rectangular field.
The width
The width
1 answer:
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Answer:
x = 125
Step-by-step explanation:
Given
= 25
Multiply both sides by 5 to clear the fraction
x = 5 × 25 = 125
x = 125
Question: What value of c will complete the square below () and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of .
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)