The width of a rectangle is 1 unit less than the length. the area of the rectangle is 56 units. so, the width of the rectangle is 7 units.
The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
The width of a rectangle is 1 unit less than the length. the area of the rectangle is 56 units.
So, W = 1 - L
Area = L × W squared units.
[tex]56 = L \times W \\56 = L \times (1 - L)\\56 = (L - L^2)\\L^2 -L + 56 = 0\\\\L^2 -8L+ 7L- 56 = 0\\L(L - 8) + 7(L- 8) = 0\\(L - 8)(L + 7) = 0\\[/tex]
Here, (x +7) is negligible because measurement will not in negative.
L - 8 = 0
L = 8
Length = 8 units
Width = 8-1 = 7 units
Learn more about the area of a rectangle here:
https://brainly.com/question/4887838
#SPJ2
