Question

what is the area of the shaded region? 84 mm, 60 mm, 56 mm, 40 mm. write your answer as a whole number or a decimal rounded to the nearest hundredth.

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $\frac{1}{2} \times base \times height$. For the large triangle, base = 84 mm and height = 60 mm.
$\frac{1}{2} \times 84 \times 60 = 2520$ $mm^2$

Step2: Calculate area of small triangle

For the small triangle, base = 56 mm and height = 40 mm. Using the same area formula:
$\frac{1}{2} \times 56 \times 40 = 1120$ $mm^2$

Step3: Subtract areas to get shaded area

Shaded area = Area of large triangle - Area of small triangle
$2520 - 1120 = 1400$ $mm^2$

Answer:

1400