Question

Q.1)The ratio of the area of rectangle A to that of rectangle B is 1:3. If 1/4th of rectangle A is shaded, what fraction of rectangle B is shaded? (A) 1/12 (B) 1/16 (C) 15/16 (D) 11/12

Answer 1

Answer:

Shaded area of A = 1 4 x Fraction of area of rectangle B is shaded = 1 4 x 3 x = 1 12

Answer 2

Answer:

option (A) 1/12

Step-by-step explanation:

Given, $\frac{area \ of \ rectangle \ A}{area \ of \ rectangle \ B} = \frac{1}{3}$

To find: ratio of area of rectangle B shaded, when $\frac{1}{4} th$ area of rectangle A is shaded  

Let, area of rectangle A be 100 sq. units. Then area of rectangle B  is 300 sq. units

$\frac{1}{4} th$ area of rectangle A is shaded  = $\frac{100}{4}$ = 25 sq. units

25 sq. units is $\frac{1}{12} th$ of 300 sq.units

Hence, the shaded fraction of rectangle B is $\frac{1}{12}$

Answer: option (A) 1/12