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Total distance = \(150 + 120 = 270 \text{ miles}\).
A rectangle's length is twice its width. If the perimeter is 36 units, what is the area of the rectangle?
Perimeter = \( 2(w + 2w) = 6w = 36 \).
Solve for \( w \): \( w = \frac{36}{6} = 6 \).
Length = \( 2w = 12 \).
Area = \( w \times 2w = 6 \times 12 = 72 \).
If a number is increased by 25% and then decreased by 20%, what is the final value if the original number was 80?
Increase by 25%: \( 80 \times 1.25 = 100 \).
Decrease by 20%: \( 100 \times 0.80 = 80 \).
A triangle has sides of lengths 7, 24, and 25. Is it a right triangle? If so, what is its area?