217k views
2 votes
The area of a rectangular painting is a 1/6 square yard. The width is 2/3 yard. What is the length of the painting? Use the formula A= { L x w}.

User Mikestew
by
8.0k points

1 Answer

3 votes

Final answer:

The length of the rectangular painting is 1/4 yard, calculated by dividing the area by the width using the formula for area of a rectangle.

Step-by-step explanation:

The area of a rectangular painting is given as 1/6 square yard. The formula for the area of a rectangle is A = L × W (Area equals Length times Width). Given that the width (W) is 2/3 yard, we can find the length (L) by rearranging the formula to L = A / W.

Now, substituting the values we have:

  • A = 1/6 square yard
  • W = 2/3 yard

So:

L = (1/6) / (2/3) = (1/6) × (3/2) = (1 × 3) / (6 × 2) = 3/12 = 1/4

Therefore, the length of the painting is 1/4 yard.

User Pzr
by
7.5k points