Answer:
The correct option is B. 6 by 9
Step-by-step explanation:
Length of the smaller rectangle = 4 units
Width of the smaller rectangle = 6 units
Perimeter of the smaller rectangle = 2 ( length + width )
= 2 (4 + 6)
= 20 units
Now, the ratio of the smaller rectangle to the larger rectangle is 2 : 3
Let the perimeter of larger rectangle be x units
⇒ 20 : x = 2 : 3
⇒ x = 10 × 3
⇒ x = 30 units
Now, Perimeter of larger rectangle = 30 units
⇒ 2 ( L + B) = 30
⇒ L + B = 15 units
Hence, from the given options only option B. gives the L + B = 15 units.
Therefore, The dimensions of larger rectangle = 6 by 9
Hence, The correct option is B. 6 by 9
