Based on the calculations, the dimensions of the rectangle are
- Length, L = 156 meters.
- Width, w = 65 meters.
<h3>What is a diagonal?</h3>
The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
- d is the diagonal of a rectangle.
- l is the length of a rectangle.
- w is the width of a rectangle.
Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
Read more on rectangle here: brainly.com/question/25292087
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