# math

posted by .

a rectangle has a base of 25 in. and a height of 15 in. if the shape is dilated with a scale factor of .6, what is the area of the new shape?

• math -

areas of similar shapes are proportional to the square of their sides
area of original
= (1/2)(25)(15) = 187.5

x/187.5 = .6^2/ 1
x = .36(187.5) = 67.5

or

new dimensions:
.6(25) = 15
.6(15) = 9
new area = (1/2)(15)(9) =67.5

## Similar Questions

1. ### Physics

When a paper cake case falls right way up through air, it quickly reaches terminal velocity. The drag force, D acting on the case is given by D=f§¤Av©÷ where §¤ is the density of air (1.2kg/m©ø), v is the terminal velocity, …
2. ### math

i have math homework and it says i have to find 1 pair of rectangle that are simular and find the scale factor but i cant find the scale factorthe k rectangle is 4 cubes base by 3cubes height and n rectangle is 12 cubes base and 1 …
3. ### Math

Determine the perimeter and area of a rectangle that has a width of 6 inches and a length of 8 inches. Using a ratio of 1:2, draw a similar rectangle that is double the width and length of the first shape. Determine the perimeter and …
4. ### geometry

For 1 through 10, what is the area and volume of the given shape, if the length of one side of the base is 6, the height is 8, and the slant height is 10?
5. ### algebra 1

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend …

rectangle is dilated by 9. image is dilated using scale factor of 1/8. How do I figure out the scale factor that the original rectangle cold have been dilated to get the final rectangle
7. ### Math

A new car manufacturer is designing a logo. It is in the shape of a diamond inside a rectangle. The diamond is to have a horizontal width of 3 cm and an area equal to one sixth of the area of the rectangle. Find the required height …
8. ### Math

A rectangle is dilated using a scale factor of 6. The image is then dilated using a scale factor of 1/3. What scale factor could you use to dilate the original rectangle to get to the final rectangle. Explain.