Examples with solutions for Variables and Algebraic Expressions: Using additional geometric shapes

Exercise #1

A farmer buys several areas of land as shown in the diagram. How much land did he buy in total?

Enter the elements if necessary.

aa4a3a2x

Video Solution

Answer

6ax+a2+4a+14x2π 6ax+a^2+4a+\frac{1}{4}x^2\pi

Exercise #2

Calculate the circumference of the wheel in the diagram.

2b4.3a1.8a

Video Solution

Answer

21.2a+7.2+8b 21.2a+7.2+8b

Exercise #3

Express the perimeter as follows.

Enter the elements.

41.5xx41.5x1.5x1.5xxxx

Video Solution

Answer

8+10x 8+10x

Exercise #4

What is the height of the tower in the drawing?

The tower is formed by rectangles.

2x+7A=8xA=3023

Video Solution

Answer

6x+17 6x+17

Exercise #5

What is the area of the flower represented in the diagram?

2x321.2x1.5x

Video Solution

Answer

7.69x2π+13π 7.69x^2\pi+13\pi