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:

(A) 1/12

Step-by-step explanation:

Answer 2

Answer:

Option(A) 1/12 of rectangB is shaded.

Step-by-step explanation:

Given: The ratio of the area of rectangle A to that of rectangle B is 1:3.

          1/4th of rectangle A is shaded.

To find: The shaded fraction of rectangle B.

Solution:

Ratio of area of rectangle A to area of rectangle B = 1:3

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

⇒ $area of rectangle A =\frac{1}{3}*area of rectangleB$.....eq.(1)

1/4th of rectangle A is shaded

⇒ area shaded in rectangle A = 1/4th of area of rectangle A

⇒4×area shaded in rectangle A = $\frac{1}{3} *area of rectangle B$   ---  (from eq.(1))

⇒ area shaded in rectangle B = $\frac{1}{12}*area of rectangle B$

Therefore, 1/12 of area of rectangle B is shaded.

So answer is option (A) 1/12.

#SPJ3