Question

What is the area of the original rectangle?

Answer 1

`8 {cm}^(2)`

Step-by-step explanation

First let us determine the scale factor of the enlargement

`k = (image \: length)/(corresponding \: object \: length)`

`k = (8)/(1.6)`

`k = 5`

This implies that that, the corresponding length of the smaller rectangle is

`l = (25)/(5) = 5cm`

The area of the smaller rectangle is

`= 5 * 1.6 = 8 {cm}^(2)`