Challenge Geometry Questions ( Week 44 Practice) 1. A square has an area with a value 9 times its perimeter. How long is each side of the square? 2. Two circles A and B are enclosed inside a larger circle C. There is no overlap between A and B, and they stretch the entire diameter of the larger circle C. The area of circle C is 144π. What is the largest possible non-shaded area inside C? Note that the diagram might not be drawn to scale.
3. ABCD is a rectangle. E, and F are at the same height. If the area of the rectangle ABCD is 62, what is the area sum of the shaded triangles?
4. The sides of a triangle are all integer lengths. Two sides have the lengths of 14 and 9. What is the smallest possible perimeter of the triangle? 5. What is the length of EC in the following diagram?
|