Answer:
length: 14.2 ft; width 4.2 ft.
Step-by-step explanation:
Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...
area = length×width
60 = x(x -10) . . . . . substitute the expressions for area, length, width
60 = x² -10x
85 = x² -10x +25 . . . . add (10/2)² to complete the square
85 = (x -5)² . . . . . . . . . rewrite as a square
√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem
x = 5 + √85 ≈ 14.2
x-10 = 4.2
The length and width of the rectangle are 14.2 ft and 4.2 ft.
Answer:
7 units
Step-by-step explanation:
I plotted your points to form the polygon in the diagram below.
The vertical side joins the points (0 ,3) and (0, -4).
The vertical distance between them is
3 - (-4) = 3 + 4 = 7
The length of the vertical side is 7 units.
“Mathematics is the science and study of quality, structure, space, and change. ... Through abstraction and logical reasoning mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.”
