A rectangle has a height to width ratio of 3:4.5. Select all of the choices below that are scaled versions of this rectangle.
O A rectangle with a height of 5 centimeters and a width of 6.5 centimeters
O A rectangle with a height of 23 meters and a width of 24.5 meters
A rectangle with a height of 9 inches and a width of 13.5 inches.
A rectangle with a height of 6 yards and a width of 9 yards
O A rectangle with a height of 1 foot and a width of 1.5 feet

A rectangle with a height of 23 meters and a width of 24.5 meters

A rectangle with a height of 5 centimeters and a width of 6.5 centimeters

A rectangle with a height of 1 foot and a width of 1.5 feet

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240