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what is the area of the shaded region? 34.5 ft 12.8 ft 34.5 ft 12.8 ft …

Question

what is the area of the shaded region?
34.5 ft
12.8 ft
34.5 ft
12.8 ft
write your answer as a whole number or a decimal rounded to the nearest hundredth.
square feet

Explanation:

Step1: Calculate area of large square

The area of a square is side squared. For the large square, side is 34.5 ft. So area is $34.5\times34.5$.
$34.5\times34.5 = 1190.25$ square feet.

Step2: Calculate area of small square

For the small square, side is 12.8 ft. Area is $12.8\times12.8$.
$12.8\times12.8 = 163.84$ square feet.

Step3: Subtract small area from large area

Shaded area = large area - small area = $1190.25 - 163.84$.
$1190.25 - 163.84 = 1026.41$ square feet.

Answer:

1026.41