Question

The area of the rectangle shown in the diagram below is 160 square units. Determine the perimeter of the shaded triangle. Write your answers in simplest radical form.

Answer 1

The area of the rectangle can be calculated as follows:

```

Area of rectangle = length * width

```

Since the area of the rectangle is 160 square units, and the length is 10 units, we can calculate the width as follows:

```

Width = Area of rectangle / Length

Width = 160 square units / 10 units

Width = 16 units

```

The perimeter of a triangle is the sum of the lengths of its sides. The shaded triangle has two sides of length 10 units and one side of length 16 units. Therefore, the perimeter of the shaded triangle can be calculated as follows:

```

Perimeter of shaded triangle = 10 units + 10 units + 16 units

Perimeter of shaded triangle = 36 units

```

Therefore, the perimeter of the shaded triangle is **36 units**.

**Answer:** 36