Question

The diagonal is a of a rectangular field is 169m. If the ratio of the length to the width is 12:5 find the dimensions

Answer 1

Based on the calculations, the dimensions of the rectangle are

1. Length, L = 156 meters.
2. Width, w = 65 meters.

What is a diagonal?

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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