83465
AssignmentMultiple Choice

Factoring Trinomials: a > 1

Question 83465 • FL-1200700-Mathematics for College Algebra MIS

Which statement is true of a rectangle that has an area of 4x2 + 39x – 10 square units and a width of (x + 10) units?

Answer
A
The rectangle is a square.
B
The rectangle has a length of (2x – 5) units.
C
The perimeter of the rectangle is (10x + 18) units.
D
The area of the rectangle can be represented by (4x2 + 20x – 2x – 10) square units.

Explanation

Divide the area by the width to find the length: (4x² + 39x − 10) ÷ (x + 10) = 4x − 1. The perimeter is twice the sum of the length and width: 2[(4x − 1) + (x + 10)] = 10x + 18. Therefore, the true statement is that the rectangle has a perimeter of (10x + 18) units.

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