The figure shows a carpeted room. how many square feet of the room are carpeted?

30 square feet
44 square feet
56 square feet
76 square feet

Option B. 44 square feet.

Step-by-step explanation:

The figure shows a carted room. We have to find the area of the room which is carpeted.

The given room consist of two rectangles.

Larger rectangle with the sides = 8x (7 - 4 ) feet = 8 × 3 feet and smaller rectangle with the sides = 5 × 4 feet

Area of larger rectangle = 8 × 3 = 24 feet²

Area of smaller rectangle = 5 × 4 = 20 feet²

Total area of the room = 24 + 20 = 44 feet²

Option B. 44 square feet is the answer.

From the right triangle we can find its leg using Pythagorean theorem,

50² =14² + leg²

leg² = 2304

leg = √2304 = 48,

This leg is one of the sides of the rectangle, so we can find a perimeter of this rectangle.

P=2*(W+L) = 2*(14+48) = 124

Answer : the perimeter is 124.