The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the r
1 answer:
9514 1404 393
Answer:
6.5 ft wide by 8 ft long
Step-by-step explanation:
We can let x represent the width of the rectangle. Then the length is ...
L = 2x -5
and the area is ...
A = LW = (2x -5)(x) = 52
2x² -5x -52 = 0 . . . . . put in standard form
(2x -13)(x +4) = 0 . . . . factor
x = 6.5, -4 . . . . . . . . . . values that make the factors zero
The length is then ...
L = A/W = 52/6.5 = 8
or
L = 2W -5 = 2(6.5) -5 = 13 -5 = 8
The rectangle is 6.5 feet wide and 8 feet long.
You might be interested in
The value of x on the number line is 24 and - 40
A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.
The given equation is
Solving the equation:
Now we take the two separate values of x:
either x=-8+32 or x=-8-32
or,x=24 or x=-40
The value of x is 24 and - 40.
To learn more about number line:
#SPJ9
