Answer:
The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 30 square meters
2. Find the length and width if the length is 1.45 times the width.
Width of the rectangle = x
Length of the rectangle = 1.45x
Now substituting in the formula of the area of a rectangle, this way:
30 = x * 1.45x
30 = 1.45x²
x² = 30/1.45
x = √30/1.45
x = 10 √6/29 or 4.55 (Rounding to two decimal places)
1.45 x = 14.5 √6/29 or 6.6
The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.
