Beth purchased a new rug that was 12 feet wide and 25 feet long. The rug cost $5 per square foot. What is the area of the rug?
Beth purchased a new rug that was 12 feet wide and 25 feet long. The rug cost $5 per square foot.

2. What was the cost of the rug Beth bought?

Beth purchased a new rug that was 12 feet wide and 25 feet long. The rug cost $5 per square foot.

3. What is the perimeter of the rug?

Beth purchased a new rug that was 12 feet wide and 25 feet long. The rug cost $5 per square foot.

4. The room this carpet went in measured 18 feet wide and 32 feet long. What was the area of this room?

Beth purchased a new rug that was 12 feet wide and 25 feet long. The rug cost $5 per square foot.

5. How much of the floor in the room is NOT covered by carpet?

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

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step-by-step explanation:

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i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.