A shape is shown on the centimetre grid below. Work out the area of the shape after it has been enlarged by scale factor 2.

State the units of your answer.

The area of the shape after it has been enlarged by

scale factor 2 will be: 10 cm²

Step-by-step explanation:

The Area is basically a measure of how much space in square units there is inside an object.

As the shape is shown on the centimeter grid.

We also know that If the scale factor > 1, the image is enlarged.

As we know to determine the area of the shape after it has been enlarged by scale factor 2, all we need to do is to multiply the area of the original shape by 2.

The area of original shape = 5 cm²

The area of the shape after the dilation by a scale factor 2 = 5 × 2 = 10 cm²

Thus, the area of the shape after it has been enlarged by

scale factor 2 will be: 10 cm²

linear pair postulates