If the length of a rectangle is 1 cm more than three times the width and if the perimeter of the rectangle is 34 cm what is the dimension of the rectangle
1 answer:
Answer:
width: 4cm
length: 13cm
Step-by-step explanation:
Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We can substitute our values into the equation:
34 = 2(3w + 1 + w)
17 = 3w + 1 + w
17 = 4w + 1
16 = 4w
w = 4
We can substitute this into the length:
3w + 1
3(4) + 1
12 + 1
13
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