Question

what is the area of the shaded region?
diagram: a large right triangle (base 28 m, height 24 m) with a smaller right triangle (base 16 m, height 18 m) inside, shaded region is the area between them
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 $A = \frac{1}{2} \times base \times height$. For the large triangle, base = 28 m, height = 24 m.
$A_{large} = \frac{1}{2} \times 28 \times 24$
$= 14 \times 24$
$= 336$ $m^2$

Step2: Calculate area of small triangle

For the small triangle, base = 16 m, height = 18 m.
$A_{small} = \frac{1}{2} \times 16 \times 18$
$= 8 \times 18$
$= 144$ $m^2$

Step3: Subtract areas to get shaded region

Shaded area = $A_{large} - A_{small}$
$= 336 - 144$
$= 192$ $m^2$

Answer:

192