Question

The width of a rectangle is 1 less than one-half its length, and the perimeter is 46. Find the dimensions.

I need an equation with only one variable and I need the width and lenght of rectangle

Answer 1

Length is 26, width is 7

Explanation:

Supposing y= width and x= length

We know from the question that

y= 1/2x -1

And the perimeter of any rectangle is 2y + 2x

Substitute y for 1/2x-1

2(1/2x-1) + 2x = 46

x - 2 + 2x = 46

3x = 48

x= 16

y= (1/2*16)-1

y=7