Question

How do you find the area of the rectangle with the length of 6 inches and the width of 2 feet?

Answer 1

Hint: To find the area units must be equal. In this question, the length is given in inches and the width is given in feet. Therefore, let us find the relation between inches and feet. 1 foot is equal to 12 inches. Based on this relation, we can find the width of the rectangle into inches. Then apply the formula for the area of the rectangle. Substitute the values of length and width. Here, the unit of area is square inches.
The formula for the area of a rectangle:
$A = l \times b$
Where A is an area of the rectangle, l is the length of the rectangle, and b is the width of the rectangle.

Complete step-by-step answer:
Here, we have to convert the width of the rectangle into inches.
As we already know that 1 foot = 12 inches.
Therefore, to convert 2 feet into inches, multiply by 12.
$ \Rightarrow 2 \times 12$
Let us multiply the above step.
The answer will be,
$ \Rightarrow 24$
Hence, the width of the rectangle is 24 inches.
Now, let us apply the formula of area.
$A = l \times b$
Let us substitute the value of l and b.
The value of the length l is 6 inches and the value of the width b is 24 inches.
$ \Rightarrow A = 6 \times 24$
So, we will get
$ \Rightarrow A = 144$Square inches
Hence, the area of the rectangle is 144 square inches.

Note:
In this question, we can also write the answer in feet.
As we know, 12 inches is equal to 1 foot.
Therefore, 144 inches is equal to
$ \Rightarrow \dfrac{{144}}{{12}}$
Therefore, the answer is
$ \Rightarrow 12$
So, we can also write that the area of the rectangle is 12 square feet.