Question

what is the area of the shaded region?
26 cm
13 cm
20 cm
40 cm
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square centimeters

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 = 40 cm and height = 26 cm. So, $A_{large} = \frac{1}{2} \times 40 \times 26$.
$A_{large} = 20 \times 26 = 520$ square cm.

Step2: Calculate area of small triangle

For the small triangle, base = 20 cm and height = 13 cm. Using the same formula, $A_{small} = \frac{1}{2} \times 20 \times 13$.
$A_{small} = 10 \times 13 = 130$ square cm.

Step3: Subtract to find shaded area

Shaded area = $A_{large} - A_{small} = 520 - 130 = 390$ square cm.

Answer:

390