So Elian suppose have 15 tiles and she asking how many different rectangles she could make with 15 tiles and were supposed to write the number and dimensions of it Part AHow does Elina's drawing show that the number 10 is a compositenumber?because 2s=10 and She drıw that.Part BSuppose Elina used 15 tiles to make the rectangular design. Howmany different rectangles could she make with the 15 tiles? Writea list or draw a picture to show the number and dimensions of therectangles she could make.Part CElina's friend Luke said that he could make more rectangles with24 tiles than with Elina's 10 tiles. Do you agree with Luke? Explain.

Answered: Suppose Elina used 15 tiles to make the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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So Elian suppose have 15 tiles and she asking how many different rectangles she could make with 15 tiles and were supposed to write the number and dimensions of it

Part A
How does Elina's drawing show that the number 10 is a composite
number?
because 2s=10 and She drıw that.
Part B
Suppose Elina used 15 tiles to make the rectangular design. How
many different rectangles could she make with the 15 tiles? Write
a list or draw a picture to show the number and dimensions of the
rectangles she could make.
Part C
Elina's friend Luke said that he could make more rectangles with
24 tiles than with Elina's 10 tiles. Do you agree with Luke? Explain.

Expert Solution

Step 1

B) Elian used $15$ tiles to make the rectangular design.

The total tiles represents the area of the rectangle.

The area of a rectangle with sides $a$ and $b$ is $a b$ .

Suppose Elian makes a rectangular design with $x$ rows of tiles and $y$ columns of tiles, then the number of total tiles is:

$x y$

Since she had $15$ tiles, the value of $x y$ is:

$x y = 15$

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