Question

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?

Answer 1

The combined area is 54 square meters.

Answer 2

The combined area is 54 square meters

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

`A=LW`

Find the area of rectangle 1

we have

`L=10\ m\\ W=3\ m`

substitute

`A_1=(10)(3)=30\ m^2`

Find the area of rectangle 2

we have

`L=8\ m\\ W=3\ m`

substitute

`A_2=(8)(3)=24\ m^2`

Find the combined area

`A=A_1+A_2`

substitute

`A=A_1+A_2`

`A=30+24=54\ m^2`