Geometry and Trigonometry - Area and volume — Quiz 2

Questions in this quiz (10)

1. In the figure shown, triangle $$JKL$$ is similar to triangle $$RST$$, where $$J$$ corresponds to $$R$$ and $$K$$ corresponds to $$S$$. The length of $$JK$$ is $$15$$, and the perimeter of triangle $$JKL$$ is $$36$$. The length of $$RS$$ is $$135$$. What is the perimeter of triangle $$RST$$?

   • $$324$$
   • $$540$$
   • $$2916$$
   • $$8100$$

2. Each side of a square has a length of $$32$$. What is the perimeter of this square?

   • 128

3. The perimeter of triangle $$XYZ$$ is $$21$$ inches. The length of side $$XY$$ is $$6$$ inches, and the length of side $$XZ$$ is $$8$$ inches. What is the length, in inches, of side $$YZ$$?

   • $$5$$
   • $$7$$
   • $$8$$
   • $$13$$

4. A rectangle has a length of $$4$$ units and a width of $$27$$ units. Which expression gives the area, in square units, of this rectangle?

   • $$2(4+27)$$
   • $$2(4 \cdot 27)$$
   • $$4+27$$
   • $$(4) \cdot (27)$$

5. The width of a rectangle is $$9$$ centimeters. The length of the rectangle is $$15$$ centimeters longer than the width. What is the area, in square centimeters, of this rectangle?

   • $$24$$
   • $$135$$
   • $$216$$
   • $$324$$

6. The area of a rectangle is $$480$$ square inches. The length of the rectangle is $$20$$ inches. What is the width, in inches, of this rectangle?

   • $$12$$
   • $$24$$
   • $$40$$
   • $$460$$

7. The area of a rectangle is $$84$$ square inches. The length of the longest side of the rectangle is $$12$$ inches. What is the length, in inches, of the shortest side of this rectangle?

   • 7

8. A triangle has a base length of $$30$$ centimeters and a height of $$16$$ centimeters. What is the area, in square centimeters, of the triangle?

   • 240

9. Each base of a right rectangular prism has a length of $$10$$ inches and a width of $$6$$ inches. The prism has a volume of $$1200$$ cubic inches. What is the height, in inches, of the prism?

   • $$10$$
   • $$20$$
   • $$12$$
   • $$2$$

10. Triangle $$PQR$$ and triangle $$STU$$ are similar triangles, where $$PQ$$ and $$ST$$ are corresponding sides. If $$ST=3PQ$$ and the perimeter of triangle $$PQR$$ is $$18$$, what is the perimeter of triangle $$STU$$?

    • $$6$$
    • $$18$$
    • $$36$$
    • $$54$$