Q. a seamstress is covering a banner with fabric. she has a piece of material that is 2 yards long and 36 inches wide. what size banner can she cover

or

Step-by-step explanation:

We know that the seamstress banner is 2 yards long and 36 inches wide.

First we express the lengths in the same units.

We know that

1 yard = 36 inches.

So the length is 2 yards and the width is 1 yard

To know how much fabric the seamstress should cover, calculate the area of the banner.

Assuming the banner is rectangular, then the area of a rectangle is:

Where W is the width and L is the length of the rectangle.

or

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6