The area of a rectangle is 30 square meters. find the length and width if the length is 1.45 times the width.

The length and the width of the rectangle will be 6.6 meters and 4.55 meters respectively.

Therefore, the equation to solve the question will be:

Length × Width = Area

x × 1.45x = 30

1.45x² = 30

x² = 30/1.45

x² = 20.69

x = ✓20.69 = 4.55

Length = 4.55 × 1.45 = 6.60

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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.

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