Ello, I just need three questions answered, that's all. Help much appreciated, thanks:)

1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

3.A prism with a volume of 875m^3 is scaled down to a volume of 448cm^3. What is the scale factor? Answer as a fraction or decimal in simplest form.

Guest Feb 20, 2017

#1**0 **

1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

The area is increased by a square of the scate factor....so.....

(4/7) * 7^2 =

(4/7) * 49

(49/7) * 4 =

7 * 4 =

28 m^2

CPhill
Feb 20, 2017

#2**0 **

2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

The original volume will increase by a cube of the scale factor

Original volume = 8 * 6 = 48cm^3

So

48 * (5/4)^3 =

[48 * 125] / 64 =

[48/64] * 125 =

(3/4) * 125 =

93.75 cm^3

CPhill
Feb 20, 2017