Question

After the scale factor is applied to the dimensions of the rectangle shown, choose all that correctly give the new dimension. (Check all that are true)

A) New width after a scale factor of 3.
12 cm

B) New length after a scale factor of 4.
80 cm

C) New perimeter after a scale factor of 2.
112 cm

D) New area after a scale factor of 2.
160 cm²

Answer 1

Statements in option A and D are true

Explanation:

Step 1 :

Length of the given rectangle = 10 cm

Width of the given rectangle = 4 cm

Step 2 :

A)

Apply scale factor of 3

New width is 4 * 3 = 12 cm

Hence the statement in option A is true

Step 3 :

B)

Scale factor = 4

New length is 10 * 4 = 40 cm

Hence option B is false

Step 4 :

C)

Scale factor = 2

New length is 10 * 2 = 20 cm

New width is 4 * 2 = 8 cm

New perimeter is 20+20+8+8 = 56 cm

Hence option C is false

Step 5 :

D)

Scale factor = 2

New length is 10 * 2 = 20 cm

New width is 4 * 2 = 8 cm

New area is 20*8 = 160 sq cm

Hence option D is true