contestada

A garden is 6 2/3 feet long and 2 2/3 feet wide. Juan is putting a brick border around the garden. Each brick is 2/3 foot long. How many bricks does Juan need?

Respuesta :

Juan need 14 bricks for making garden's border.

Answer:

28 bricks.

Step-by-step explanation:

The length of the garden = [tex]6\frac{2}{3}[/tex] feet

                                         =  [tex]\frac{20}{3}[/tex] feet

The width of the garden =  [tex]2\frac{2}{3}[/tex] feet

                                        =  [tex]\frac{8}{3}[/tex] feet

Now we will calculate the perimeter of the garden

Perimeter = 2(Length + width)

                = 2 ( [tex]\frac{20}{3}[/tex] +  [tex]\frac{8}{3}[/tex] )

                = 2 (  [tex]\frac{20+8}{3}[/tex] )

                = 2 ×  [tex]\frac{28}{3}[/tex]

                =  [tex]\frac{56}{3}[/tex] feet

Each brick is  [tex]\frac{2}{3}[/tex] foot long. So we divide perimeter of the garden by the length of each brick.

=  [tex]\frac{56}{3}[/tex] ÷  [tex]\frac{2}{3}[/tex]

=  [tex]\frac{56}{3}[/tex] ×  [tex]\frac{3}{2}[/tex]

=  [tex]\frac{56}{2}[/tex]

= 28 bricks

Juan needs 28 bricks.