Two rectangles are joined together to form a single large area. The rectangles do not overlap.

The first rectangle has side lengths of 10 meters and 3 meters.

The second rectangle has side lengths of 3 meters and 8 meters.

What is the combined area?

Respuesta :

Answer:

The combined area is 54 square meters

Step-by-step explanation:

we know that

The combined area is equal to the area of the first rectangle plus the area of the second rectangle

The area of rectangle is equal to

[tex]A=LW[/tex]

Find the area of rectangle 1

we have

[tex]L=10\ m\\ W=3\ m[/tex]

substitute

[tex]A_1=(10)(3)=30\ m^2[/tex]

Find the area of rectangle 2

we have

[tex]L=8\ m\\ W=3\ m[/tex]

substitute

[tex]A_2=(8)(3)=24\ m^2[/tex]

Find the combined area

[tex]A=A_1+A_2[/tex]

substitute

[tex]A=A_1+A_2[/tex]

[tex]A=30+24=54\ m^2[/tex]

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