the perimeter of a rectangle is 124 cm. the length is six more than three times the width. what are the dimensions of the rectan
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2 answers:
Our first task in this problem is to set up variables that represent length and width.
<u>Let's first identify our values:</u>
X → Width
3x + 6 → Length
Before moving on, it's always a great idea to draw a picture of the rectangle to visualize what's going on. I will provide a picture.
Now, we can use the first sentence of the problem to set up our equation.
The perimeter of a rectangle is the distance around the outside of the figure. If our perimeter is 124 cm, we can set up an equation to represent this.
<h3>x + x + 3x + 6 + 3x + 6 = 124cm.</h3><h3 /><h3>If we simplify on the left side we will get </h3><h3>8x + 12 = 124</h3><h3> -12 -12</h3><h3 /><h2>8x = 112</h2><h2>÷8 ÷8</h2><h2 /><h2>X = 14</h2><h2 /><h2>Width = 11 cm</h2><h2>Length = 48 cm</h2>
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Further explanation:
It is given that the infinite sequence is an arithmetic sequence
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,
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Here,
The common difference is same for all proceeding terms.
So,
d = 12
Keywords: Infinite arithmetic sequence, Common difference
Learn more about arithmetic sequence at:
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