The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle? a. 13 meters b. 12 meters c. 11 meters

Question

asked Jan 22, 2017 181k views

2 Answers

Vava · Answer 1 · 2017-01-27T00:01:00+0000

Answer: 12 meters

Explanation:

Let the width of the rectangle be w.

Then the length of the rectangle will be 2+3w

We know that the perimeter of a rectangle is given by :-

$\text{P}=2(l+w)$ , where l is length and w is width of the rectangle.

Now, according to the question, we have

$2(w+2+3w)=100\\\\\Rightarrow2(2+4w)=100\\\\\Rightarrow\ 4+8w=100\\\\\Rightarrow\ 8w=96\\\\Rightarrow w=12\ \text{meters}$

Hence, the width of the rectangle = 12 meters