Question

what is the area of the shaded region?
20.7 cm
10.4 cm
10.4 cm
20.7 cm
write your answer as a whole number or a decimal rounded to the nearest hundredth.
____ square centimeters

Explanation:

Step1: Calculate area of large square

$A_{large} = 20.7^2$
$A_{large}=20.7\times20.7=428.49$

Step2: Calculate area of small square

$A_{small} = 10.4^2$
$A_{small}=10.4\times10.4=108.16$

Step3: Subtract areas for shaded region

$A_{shaded}=A_{large}-A_{small}$
$A_{shaded}=428.49-108.16=320.33$

Answer:

320.33 square centimeters