Question

1. what is the area of the shaded region?

72 mm
48 mm
52 mm
78 mm

1. write your answer as a whole number or a decimal rounded to the nearest hundredth.
2. □ square millimeters

Explanation:

Step1: Find area of large triangle

The large triangle has base $78$ mm and height $72$ mm. The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
$\text{Area}_{\text{large}} = \frac{1}{2} \times 78 \times 72 = 2808$ square mm

Step2: Find area of small triangle

The small triangle has base $52$ mm and height $48$ mm.
$\text{Area}_{\text{small}} = \frac{1}{2} \times 52 \times 48 = 1248$ square mm

Step3: Subtract areas for shaded region

Shaded area = Area of large triangle - Area of small triangle.
$\text{Area}_{\text{shaded}} = 2808 - 1248$

Answer:

1560 square millimeters