the area of a rectangle is 175 and the length is 1 and a half times bigger than the width. find the width
L x W = Area
L = 1.5W
1.5W x W = 175 or 1.5W^2 = 175
W^2 = =116.666 making W = 10.80... and L = 16.20...
10.80... x 16.20... = 175
To find the width of the rectangle, we can set up the equation using the given information.
Let's assume the width of the rectangle is denoted as 'W'.
According to the given information, the length of the rectangle is 1.5 times bigger than the width. This can be written as:
Length (L) = 1.5W
The area of the rectangle is given as 175. The formula for the area of a rectangle is:
Area = Length × Width
Plugging in the values, we get:
175 = (1.5W) × W
Simplifying further:
175 = 1.5W^2
Now, we can solve for W by dividing both sides of the equation by 1.5:
W^2 = 116.666...
Taking the square root of both sides, we find:
W ≈ 10.80 (rounded to two decimal places)
Therefore, the width of the rectangle is approximately 10.80.