Answer: The width is 10cm and the length is 24cm :)
Step-by-step explanation:
The width of the rectangle is 10 units long and the length of the rectangle is 14 units long.
Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle.
A rectangle’s length is 4 more than twice its width and Its area is 240 square centimeters.
Let w is the width of the rectangle. Thus,
[tex]w\times (2w + 4) = 240[/tex]
[tex]2w^2 + 4w = 240[/tex]
[tex]2w^2 + 4w - 240 = 0[/tex]
Factorize the equation as,
[tex]2(w + 12)(w - 10) = 0 \\ (w + 12)(w - 10) = 0 \\[/tex]
Equate the factors to find the width as,
[tex]w+12=0\\w=-12\\w-10=0\\w=10[/tex]
Taking positive value, the width of the rectangle is 10 units. The rectangle’s length is 4 more than twice its width. Thus,
[tex]l=4+10\\l=14[/tex]
Hence, the width of the rectangle is 10 units long and the length of the rectangle is 14 units long.
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
