Question

Одна сторона прямокутника дорінюэ 2см, а інша - на 8см довша. Побудуй цей прямокутник і обчисли його площу та периметер.

Answer 1

Х- перша сторона прямокутника
х+8 - друга сторона



2(х+х+8)=2(2х+8)=4х+16 - периметр
х*х+8=х^2+8х - площа

Answer 2

Problem Analysis

We are given the dimensions of a rectangle: one side is 2 cm and the other side is 8 cm longer than the first side. We need to construct the rectangle and calculate its area and perimeter.

Solution

To construct the rectangle, we can draw two adjacent sides with lengths 2 cm and 10 cm (2 cm + 8 cm). Then, we can draw the remaining two sides perpendicular to the existing sides.

The rectangle will look like this:

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Calculating the Area

The area of a rectangle is given by the formula: Area = length * width.

In this case, the length is 2 cm and the width is 10 cm. Therefore, the area of the rectangle is:

Area = 2 cm * 10 cm = 20 cm^2.

Calculating the Perimeter

The perimeter of a rectangle is given by the formula: Perimeter = 2 * (length + width).

In this case, the length is 2 cm and the width is 10 cm. Therefore, the perimeter of the rectangle is:

Perimeter = 2 * (2 cm + 10 cm) = 2 * 12 cm = 24 cm.

Conclusion

The constructed rectangle has an area of 20 cm^2 and a perimeter of 24 cm.

Please let me know if there is anything else I can help you with!