Ask Question
4 May, 08:31

The perimeter of a rectangle is 58. The length is 1 more than 2 1/2 times the width. Find the dimensions of the rectangle

+2
Answers (1)
  1. 4 May, 12:15
    0
    The formula of the perimeter of a rectangle is given as

    P=2L+2W

    where L is the length and W is the width. Substitution of the given values will yield,

    58=2L+2W (1)

    The next thing that we have to do is to translate the relationship between the two variables, L and W, into a mathematical equation.

    So we have

    L=2.5W+1 (2)

    Now we have two equations, we also have two unknowns, so this problem is solvable. Substitution of equation (2) in (1) yields

    58=2 (2.5W+1) + 2W

    58=5w+2+2w

    58=7W+2

    56=7W

    8=W

    Substitution of this value to equation (2) yields

    L=2.5 (8) + 1

    L=21

    So, the dimensions of the rectangle are:, specifically, width is equal to 8 while length is equal to 21.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The perimeter of a rectangle is 58. The length is 1 more than 2 1/2 times the width. Find the dimensions of the rectangle ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers