A rectangle's length is 1.25 times its width. Its perimeter is 3 times the length plus one. What are the dimensions of the rectangle?
Mathematics · High School · Thu Feb 04 2021
Answered on
Let the Width of rectangle = 1.25w
then, Length of rectangle = l = 1.25w
Perimeter of rectangle = 3l+1
= 3(1.25w) + 1
We know that;
Perimeter = 2(Length + width )
3(1.25w) + 1= 2(1.25w+w)
3.75w + 1 = 2.50w + 2w
3.75w + 1 = 4.50w
1 = 4.50w - 3.75w
1 = 0.75w
w = 1/0.75
w = 1.33
Then, Length = 1.25 * 1.33
= 1.67
Thus, length and width of rectangle are 1.33 and 1.67 respectively.