Question

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.

Answer 1

a.
`A_((kitchen))=15.75\ m^2`

b.
`A_((total))=39.375\ m^2`

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

`A=lw`

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:

`l=3.75\ m\\\\w=4.2\ m`

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

`A_((kitchen))=(3.75\ m)(4.2\ m)=15.75\ m^2`

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

`A_((living))=(1.5)(15.75\ m)=23.625\ m^2`

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

`A_((total))=15.75\ m^2+23.625\ m^2=39.375\ m^2`