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In this figure, the 2 squares are identical in size, the 4 small circles are identical in size, and every circle touches either other circles or squares in all places they appear to be touching: which area is larger the yellow region on the left or the purple region on the right? The yellow region is larger. The purple region is larger. The yellow and purple regions have the same area.

In this figure, the 2 squares are identical in size, the 4 small circles are identical in size, and every circle touches either other circles or squares in all places they appear to be touching: which area is larger the yellow region on the left or the purple region on the right? The yellow region is larger. The purple region is larger. The yellow and purple regions have the same area.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I didn't understand the answer .. can you please make it clear to me with math ... ?

 

Screen... Q x. 96% Step 1 Divide this figure into 4 congruent squares as shown: Suppose the ratio of red to yellow for one of the smaller squares is Since all four are duplicates, the ratio doesn't change if we consider the ratio of red to yellow for the entire figure at once. So the ratio is for the whole figure. Screen... 95% I 0 Step 2 The ratio of red to yellow is identical no matter how the figure is scaled. That is, if we double the length of the sides, we still get a ratio of a : Since this figure is identical to the original red-and-purple figure on the right, the ratio of red to purple in that figure is also . As the overall squares of the original figure are the same size, the ratio of red to the other color- yellow and purple - is in both. Therefore, the yellow region and purple region must have the same area.
Transcribed Image Text:Screen... Q x. 96% Step 1 Divide this figure into 4 congruent squares as shown: Suppose the ratio of red to yellow for one of the smaller squares is Since all four are duplicates, the ratio doesn't change if we consider the ratio of red to yellow for the entire figure at once. So the ratio is for the whole figure. Screen... 95% I 0 Step 2 The ratio of red to yellow is identical no matter how the figure is scaled. That is, if we double the length of the sides, we still get a ratio of a : Since this figure is identical to the original red-and-purple figure on the right, the ratio of red to purple in that figure is also . As the overall squares of the original figure are the same size, the ratio of red to the other color- yellow and purple - is in both. Therefore, the yellow region and purple region must have the same area.
In this figure, the 2 squares are identical in size, the 4 small circles are identical in size, and every circle touches either other circles or squares in all places they appear to be touching: ● Which area is larger the yellow region on the left or the purple region on the right? The yellow region is larger. The purple region is larger. The yellow and purple regions have the same area. Show explanation 1/2
Transcribed Image Text:In this figure, the 2 squares are identical in size, the 4 small circles are identical in size, and every circle touches either other circles or squares in all places they appear to be touching: ● Which area is larger the yellow region on the left or the purple region on the right? The yellow region is larger. The purple region is larger. The yellow and purple regions have the same area. Show explanation 1/2
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