Question

30.4. The figure below is going to be enlarged so that the area of the new, similar shape will be 400 cm?. What will the perimeter of the new, enlarged shape be?5 cm24. Perimeter of enlarged shape=cmicm10 cmArea = 100 cm2

Answer 1

Q. 4:

We are asked to find the perimeter of the enlarged shape.

The perimeter of the enlarged shape can be found by multiplying the scale factor with the perimeter of the original shape.

The scale factor is the ratio of the area of the enlarged shape to the area of the original shape.

`SF=(400\;cm^2)/(100\;cm^2)=4`

So, the scale factor is 4.

The perimeter of the original shape can be found by adding all the side lengths.

`P=5+4+10+6+3+2=25\;cm`

So, the perimeter of the original shape is 25 cm

Finally, the perimeter of the enlarged shape is

`P=4*25=100\;cm`

Therefore, the perimeter of the enlarged shape is 100 cm