Respuesta :

The dimension of dresser is :

Length is 6.0 feet

width is 3.0 feet

The dimension of bed is :

Length is [tex]5\sqrt{2}[/tex] = 7.1 feet

Width is [tex]4\sqrt{2}[/tex]  = 5.7 feet

The dimension of table:

Length is [tex]2\sqrt{2}[/tex] = 2.8 feet

Width is [tex]2\sqrt{2}[/tex] = 2.8 feet

Answer:

A). Dimensions of the bed = 7.1 ft × 5.7 ft

B). Dimensions of table = 2.8 ft × 2.8 ft

C). Dimensions of the dresser = 6ft × 3ft

Step-by-step explanation:

Dimensions of the room are 14 ft by 10 ft.

We have to find the dimensions of each furniture.

First we take the bed.

Length of the bed = [tex]\sqrt{(5)^{2}+(5)^{2}}[/tex]

= [tex]\sqrt{25+25}[/tex]

= [tex]\sqrt{50}[/tex]

= 7.07 ft ≈ 7.1 ft

Width of the bed = [tex]\sqrt{4^{2}+4^{2}}[/tex]

= [tex]\sqrt{16+16}[/tex]

= [tex]\sqrt{32}[/tex]

= 5.7 ft

We take another furniture table which is in the square shape,

Side of the table = [tex]\sqrt{2^{2}+2^{2}}[/tex]

= [tex]\sqrt{8}[/tex]

= 2.8 ft

Therefore, each side of the table is 2.8 ft

Length of the dresser = 6 ft

Width of the dresser = 3 ft