Question

All the dimensions of a parallelogram were multiplied by the same factor. If the area of the parallelogram went from 3 square centimeters to 12 square centimeters, the dimensions of the parallelogram were multiplied by what?

Answer 1

Answer:

The answer is 2

Step-by-step explanation:

The dimensions of the parallelogram are most likely 3 and 1, so if you multiply both by 2 you get 6 and 2, which equal 12 when multiplied together

Answer 2

The factor that is multiplied by the dimensions of the parallelogram is 2

What is Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

All the dimensions of a parallelogram were multiplied by the same factor

Consider the factor as a

Area of the parallelogram before multiplied by the factor = 3 square centimeter

Area of the parallelogram = b × h

Therefore

b × h = 3 square centimeter

After multiplied by the same factor

ab × ah = 12

$a^{2}bh=12$

we know,

b × h = 3

Then,

$a^{2}(3) =12\\ a^{2}=4\\ a=2$

Hence, the factor that is multiplied by the dimensions of the parallelogram is 2

Learn more about Parallelogram and Area here

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