Civil Service Exam Reviewer · Measurement and Geometry · hard
The length and width of a rectangle are in the ratio 8 : 5, and its perimeter is 156 m. What is its area?
- 1440 m²
- 240 m²
- 1521 m²
- 2880 m²
Answer
A. 1440 m²
Solution
2(8k + 5k) = 156 → k = 6. Length = 48, width = 30. Area = 1440 m².
More Measurement and Geometry questions
- A rectangular tank 1 m × 3 m × 2 m is filled by a hose delivering 100 liters per minute. How long will it take to fill the tank?
- A 15-m ladder leans against a wall with its foot 9 m from the wall. How high up the wall does it reach?
- A 2-m pole casts a shadow 6 m long. At the same time, a building casts a shadow 42 m long. How tall is the building?
- If the radius is multiplied by 4, by what factor does the volume of a sphere increase?
- How many diagonals does a polygon with 22 sides have?
- A garden 15 m by 11 m is surrounded by a walkway 1 m wide. What is the area of the walkway?
- A circle is inscribed in a square with sides of 6 cm. What is the area of the region inside the square but outside the circle? (π = 3.14)
- What is the volume of a sphere with a radius of 9 cm? (π = 3.14)
- What is the volume of a cone with a radius of 3 cm and a height of 3 cm? (π = 3.14)
- A cylindrical water tank has a radius of 10 cm and a height of 60 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)