The problem asks us to find the area of the given quadrilateral and round it to the nearest integer. The given figure is a trapezoid with bases of length 18 mm and 24 mm, and a height of 15 mm.

1. Problem Description

The problem asks us to find the area of the given quadrilateral and round it to the nearest integer. The given figure is a trapezoid with bases of length 18 mm and 24 mm, and a height of 15 mm.

2. Solution Steps

The formula for the area of a trapezoid is given by

$Area = \frac{1}{2}(b_1 + b_2)h$,

where $b_1$ and $b_2$ are the lengths of the bases, and $h$ is the height.

In this problem, $b_1 = 18$ mm, $b_2 = 24$ mm, and $h = 15$ mm.

Plugging these values into the formula, we get

$Area = \frac{1}{2}(18 + 24)(15)$

$Area = \frac{1}{2}(42)(15)$

$Area = (21)(15)$

$Area = 315$ mm$^2$

3. Final Answer

The area of the trapezoid is 315 mm$^2$.