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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.3: Areas Of Parallelograms
Problem 26E
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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.
Transcribed Image Text: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 ab.

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

xy

Since she had 15 tiles, the value of xy is:

xy=15

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