4. (07.06)
1 answer:
The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
<h3>What is a rectangle?</h3>A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,
Area = (2x-4)(x+5)
= 2x² + 10x - 4x - 20
= 2x² +6x - 20
Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.
The complete question is:
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
- 2x² + 10x + 20
- 2x² + 6x + 20
- 2x² + 6x − 20
- 2x² − 4x − 20
The image of the rectangle is given below.
Learn more about Rectangle:
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Answer:
125
Step-by-step explanation:
1875 / 15 = 125
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<h3>Answer: 297 square cm</h3>
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Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
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Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm