Geometry( Week 38 Evaluation) 1. Steve is trying to attach a rod into to a round window with a radius of 24 inches. What is the longest rod (in inches) that can be attached to the window? (The rod is not allowed to extend outside the window) 2. Find the area in square unit for the following rectangle if each grid is one unit. 3. Jay's dad just bought him a square table. The perimeter of the table is 32 decimeters. What is the length (in decimeters) of each side of the table? 4. The area of a square garden is 169 square feet. What is the length of each side of the garden (in feet)? 5. The length of a rectangle is 3 times its width. If the perimeter is 24 inches, what is the area of the rectangle(in square inches)? 6. The sum of the three angles of any triangle must be 180 degrees. In the triangle XYZ, angle X has a measure of 20 degrees. Angle Y is 3 times as large as angle X. What is the measure (in degrees) of angle Z 7. A square and an equilateral triangle have equal perimeters. If the triangle has sides of length 8, what is the area of the square? 8. The width of a rectangle is 14. If the area of this rectangle is 784 square inches, what is its length (in inches)? 9. A rectangle's length is 4 times its width. If its perimeter is 150 feet, what is the length of the rectangle in feet? 10. The length of a bigger square is one less than 5 times of the length of a smaller square. If the sum of their perimeters is 68 centimeters, what is the length (in centimeters) of the smaller square? |