If the ratio of the sides of each small rectangle in the image is 2:5, what is the ratio of the yellow portion to the red portion? a. 1:3 b. 1:4 C. 2:3
Answers
Given : ratio of the sides of each small rectangle in the image is 2:5
To Find : the ratio of the yellow portion to the red portion? a. 1:3 b. 1:4 C. 2:3
Solution:
Let say 2x is the height of small rectangle and 5x is the width
Hence 2x + 2x = 4x is on leg of triangle
and 5x is another leg
so area of triangle = (1/2)4x * 5x = 10x²
as line dividing triangle is parallel
so yellow triangle is similar to larger triangle
with ratio of sides = (2x/4x) = 1/2
Area of yellow triangle = (1/2)² 10x² = 2.5 x²
Area of red triangle = 10x² - 2.5 x² = 7.5 x²
ratio of the yellow portion to the red portion
= 2.5 x² : 7.5 x²
= 1 : 3
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Answer:
1:3 is the answer lol u cheated