If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

The question is incomplete. Here is the complete question.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)

B(3, 3) and D(3, −2)

B(2, 3) and D(2, −2)

B(1, 2) and D(1, −3)

B(1, 3) and D(1, -2)

Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.

The rectangle to be has length, or distance from point A to point C, of 5 units.

For the area to be 20, width has to be 4.

Point B will be 4 units to the right of point A, which means:

Point A has coordinates ( -3, 3), then:

Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:

Point D will be 4 units to the right of point C:

Coordinates of point C are ( -3, -2):

Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:

Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.

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

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step-by-step explanation: