Use the idea in Q1 to cover a 66-by-150 rectangle with d-by-d tiles where d is the largest possible integer. a. Make a drawing that shows how the 66-by-150 rectangle can be covered with squares of 4 different sizes. [Paste your drawing] b. The smallest square (i.e., d-by-d) has a length of [a number] ft and an area of [a number] ft². The 2nd smallest square has a length of The 3rd smallest square has a length of The largest square has a length of ___ [a number] ft and an area of [a number] ft². [a number] ft and an area of [a number] ft and an area of [a number] ft². [a number] ft². c. Show computationally how many d-by-d tiles are needed to cover the 42-by-96 rectangle. [Type a string of equations, similar to that in part 1c]

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 99E
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The first image below is question 1 reference that is metioned in question 3

Below is question 3, the one i actually need assistance with

please do not provide solution in image format other than drawings thank you

If a = 14 and b = 48, then we can cover the 14-by-48 rectangle using 2-by-2 tiles. Below is an
image that shows how we determine that d = 2.
14
48
Transcribed Image Text:If a = 14 and b = 48, then we can cover the 14-by-48 rectangle using 2-by-2 tiles. Below is an image that shows how we determine that d = 2. 14 48
3. Use the idea in Q1 to cover a 66-by-150 rectangle with d-by-d tiles where d is the largest
possible integer.
a.
Make a drawing that shows how the 66-by-150 rectangle can be covered with squares of
4 different sizes.
[Paste your drawing]
b. The smallest square (i.e., d-by-d) has a length of ____ [a number] ft and an area of [a
number] ft².
The 2nd smallest square has a length of [a number] ft and an area of *___ [a number] ft².
The 3rd smallest square has a length of ___ [a number] ft and an area of [a number] ft².
The largest square has a length of [a number] ft and an area of [a number] ft².
c. Show computationally how many d-by-d tiles are needed to cover the 42-by-96 rectangle.
[Type a string of equations, similar to that in part 1c]
Transcribed Image Text:3. Use the idea in Q1 to cover a 66-by-150 rectangle with d-by-d tiles where d is the largest possible integer. a. Make a drawing that shows how the 66-by-150 rectangle can be covered with squares of 4 different sizes. [Paste your drawing] b. The smallest square (i.e., d-by-d) has a length of ____ [a number] ft and an area of [a number] ft². The 2nd smallest square has a length of [a number] ft and an area of *___ [a number] ft². The 3rd smallest square has a length of ___ [a number] ft and an area of [a number] ft². The largest square has a length of [a number] ft and an area of [a number] ft². c. Show computationally how many d-by-d tiles are needed to cover the 42-by-96 rectangle. [Type a string of equations, similar to that in part 1c]
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