Instructions

Complete each representation, then check your answer by clicking on the "Reveal Answer" link. If possible, record your complete answer in your notes.

1. Mr. Ramsey took the fence material he used to enclose a circular pen that was 12 ft. in diameter and plans to use the same material to build a square pen for his chickens. Approximately how big can the square pen be? Draw a picture to represent the problem. Choose the appropriate figure(s) to represent the problem.
   
   
   Interactive popup. Assistance may be required.

   Reveal Answer

   
   
   


2. A dog and pony act for a circus uses a trapezoidal platform made up of a 12” by 12” square base and a 4” by 4” square top. What length of material would be needed to add a horizontal support to each side of the platform so that the supports are halfway between the base and the top?

   

   Write a verbal description of how you would solve this problem. Click on the blanks to check your answers.
   
   For each Interactive button. Assistance may be required. __________ horizontal face of the platform, Interactive button. Assistance may be required. __________ add the lengths of the top and bottom edges and Interactive button. Assistance may be required. __________ divide the sum by Interactive button. Assistance may be required. __________ two to find the Interactive button. Assistance may be required. __________ median of the trapezoidal face. Interactive button. Assistance may be required. __________ Multiply this number times Interactive button. Assistance may be required. __________ four for the Interactive button. Assistance may be required. __________ total amount of material needed.
   Choose the appropriate words to complete your problem-solving plan.
   
   Word Bank: subtract, four, total, horizontal, median, add, two, multiply, vertical, divide, sum
   

Complete the representation by dragging the appropriate numbers and symbols from those provided. If possible, record your complete answer in your notes.

3. A mailbox store sells a certain size box which is 4 inches tall and whose length is 12 inches longer than its width. A device that drops packing peanuts into the box requires a formula for the amount (in cubic inches) that the box can hold in terms of its width.

Write an equation that can be used to represent this problem.



Drag the appropriate symbols to complete your equation.

4. Debra bought a cylinder shaped ottoman and wants to paint just the lateral surfaces of it to match the rest of her furniture. If the radius of the top of the ottoman is 12 inches and its height is 16 inches, how much area will Debra have to paint?

Write an expression which represents the area to be painted.



Drag the appropriate symbols to complete your expression.