A kitchen measures 3.75 meters by 4.2 meters.
a. Find the area of the kitchen.
b. The area of the living room is one and a half times that of the kitchen. Find the total area of the living room and the kitchen.

Respuesta :

Answer:

a. [tex]A_{(kitchen)}=15.75\ m^2[/tex]

b. [tex]A_{(total)}=39.375\ m^2[/tex]

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

[tex]A=lw[/tex]

Where "l" is the lenght and "w" is the width

a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

[tex]l=3.75\ m\\\\w=4.2\ m[/tex]

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

[tex]A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2[/tex]

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

[tex]A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2[/tex]

Therefore, the total of the living room and the kitchen is:

[tex]A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2[/tex]

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