11/19/2016. Assignment # 3 - Can someone please answer the following questions on the attached assignment sheet. PLEASE PLACE THE CORRECT ANSWERS ON THE UPLOADED SHEET.
Assignment: Area of a Scaled Figure Investigation
Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new
square patio to be made from 16 inch square pavers. The pavers are sold in boxes of 12 and cost
Part I: Scale Drawing
Decide on a scale factor to represent the distance covered by the patio. Then, use the space
below to design Mrs. Johnson?s patio to be a square that is at least 8 feet on each side.
a. Scale Factor: ____________________________
b. Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson?s patio: ? K12 Inc.
AV011413 c. What are the dimensions of Mrs. Johnson?s patio? d. Calculate the area of Mrs. Johnson?s patio. Show all work. e. How many pavers will be needed? Show all work. f. What will it cost to build the patio? Show all work. ? K12 Inc.
AV011413 Part II: Bigger Design
There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson?s patio
to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet
her needs. After seeing the original estimation, she thinks that she could afford to double the
size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson
says, ?Let?s do it!?
a. What would be the new dimensions of Mrs. Johnson?s patio? b. Calculate the new area of Mrs. Johnson?s patio. Show all work. c. How many pavers will be needed for the new design? Show all work. d. What will it cost to build the bigger patio? Show all work. e. Is Khianna right? Will doubling the size of the patio, double the cost? ? K12 Inc.
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