Question

Rectangle A is three times larger than Rectangle B. Rectangle B is 4

centimeters long and 6 centimeters wide. Given that Rectangle A and
Rectangle B are similar, what is the area of Rectangle A?
OA. 216 cm²
OB. 60 cm²
OC. 540 cm²
OD. 72 cm²

Answer 1

Explanation:

hmmm, what is meant by "3 times larger" ?

the area of the rectangle is 3 times larger ? that would be the normal understanding.

or the side lengths are 3 times larger ? which would make the area 9 (3×3) times larger.

for the first possibility :

area of B is 4 cm × 6 cm = 24 cm²

A is 3 times larger would mean

area of A = 3×24 = 72 cm²

for the second possibility :

A is 3 times larger would mean it side lengths would be

3×4 = 12 cm

and

3×6 = 18 cm

area of A = 12×18 = 216 cm²

or short

area of A is 9 times area of B = 9×24 = 216 cm²

as both (72 and 216) are in the list of answer possibilities, I would say that the extra info (that both rectangular are similar) indicates that the question was aiming for the second possibility.

so, A, 216 cm² is then the right answer.