A square with a side of 5 cm was cut out of a rectangle with a length of 7 cm and a width of 5 cm.

A square with a side of 5 cm was cut out of a rectangle with a length of 7 cm and a width of 5 cm. What is the area of the remaining figure.

To solve this problem, we introduce a conditional variable “X”, through which we denote the area of the remaining figure.

Let’s take into account the fact that the area of the remaining part of the figure will be equal to the difference between the area of the rectangle and the area of the cut out square.

Then, based on the data of the problem, we will compose the following equation: X = 7 x 5 – 5 x 5.

Solving this equation, we get X equal to 10 cm2.

Answer: the area of the remaining figure is 10 cm2.