a rectangle with an area of 200 square inches has a length and width in a ratio of 2:1. what are the length and width?
10 inches by 20 inches
hi i need to now what is 5+5=
To find the length and width of the rectangle, you can use the following steps:
Step 1: Let's assume the length and width of the rectangle are represented by 2x and x, respectively, since they are in a ratio of 2:1.
Step 2: Calculate the area of the rectangle using the given formula: Area = length × width.
200 = (2x) × (x)
Step 3: Simplify the equation and put it in quadratic form:
2x^2 = 200
Step 4: Divide both sides of the equation by 2 to solve for x^2:
x^2 = 100
Step 5: Take the square root of both sides to find the value of x:
x = ±√100
Step 6: Since we cannot have a negative length or width, we take x = √100 = 10.
Step 7: Substitute the value of x back into the assumed lengths:
Length = 2x = 2(10) = 20 inches
Width = x = 10 inches
Therefore, the length of the rectangle is 20 inches and the width is 10 inches.