Question

What is the sum of the shaded parts?

A. $ \dfrac{1}{4} $
B. $ \dfrac{1}{2} $
C. $ \dfrac{3}{4} $
D. $ 1 $

Answer 1

Hint: Here we have been given two rectangles and we have to find the sum of the shaded parts. Firstly we will find the ratio of the shaded part to the total number of rectangles in each of the rectangles given by dividing the number of shaded parts by the total number of parts. Then add the value obtained from the rectangle and get the desired answer.

Complete step-by-step answer:
The two rectangles are given as follows:

In the first object we have a total $ 4 $ rectangle among which $ 1 $ rectangle is shaded. Therefore the ratio between the shaded and total number of rectangles area as follows:
Shaded Ratio $ =\dfrac{1}{4} $ ….. $ \left( 1 \right) $
In the second object we have in total $ 4 $ rectangle among which $ 2 $ rectangle is shaded. Therefore the ratio between the shaded and total number of rectangles area as follows:
Shaded Ratio $ =\dfrac{2}{4} $ ….. $ \left( 2 \right) $
Now as we have to find the total sum of the shaded part add equation (1) and (2) as follows:
Sum of the shaded part $ =\dfrac{1}{4}+\dfrac{2}{4} $
Sum of the shaded part $ \dfrac{3}{4} $
Hence the correct option is (C).
So, the correct answer is “Option C”.

Note: Ratio is the comparison between two values by means of division. It is a very useful and efficient way for comparing two values. This relation gives us how many times one quantity is equal to another quantity. This comparison is done only when the unit of both the values in the numerator and denominator is the same. It means how many times one number contains another. When a fraction is represented in the form of $ x:y $ we call it a ratio.