Question

Please answer at least 3 of them, im having a hard time doing scale factors :/

Answer 1

Answer:

Step-by-step explanation:

Area of shape A = $\frac{1}{2}(\text{Base})(\text{height})$

                           = $\frac{1}{2}(4)(5)$

                           = 10 square units

Area of shape B = Length × width

                           = 4×2

                           = 8 square units

Area of shape C = 5 square units

Area scale factor = $(\frac{\text{Area of image}}{\text{Area of original}} )$

Area scale factor = (Scale factor)²

If scale factor = 2

Area scale factor = 2² = 4

Rule for the dilation,

Area of image = Area scale factor × Area of preimage

Therefore, area of figure A after dilation = 4×10 = 40 square feet

Area of figure B after dilation = 4×8 = 32 square feet

Area of figure C after dilation = 4×5 = 20 square feet

Similarly, we can get areas by different scale factors given in the table.

Scale factor         Area of shape A       Area of shape B      Area of shape C

       2                              40                             32                            20

       3                              90                             72                            45

      10                            1000                          800                         500

       $\frac{1}{2}$                               2.5                             2                            1.25

       x                               10x²                          8x²                           5x²