We have been given that a piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide.

First of all, let us find the scale factor by which the width of the carpet has been reduced.

Original width of carpet x scale factor = 12

Dividing both sides by 8 feet we will get:

8 feet x Scale factor/8 ft = 2/8 ft

Scale Factor = 1/4

Let us find the length of carpet after reduced by a scale factor of 1/4.

Length of the carpet after reducing a factor of 1/4=12 ft x 1/4

Length of the carpet after reducing a factor of 1/4=3 ft.

Now we will multiply the reduced length and width of the carpet to find the area of reduced carpet.

Area of reduced carpet = 2 ft x 3 ft

Area of reduced carpet = 6 ft

Therefore, the area of reduced carpet is 6 square feet.

5 0

3 years ago

I WILL MARK AS BRAINLIEST! Simplify

aev [14]

A. 40
B. 28
C. 140
D. 26

4 0

3 years ago

Read 2 more answers

Suppose the first term of a geometric sequence is 3 and the fourth term is 192. What is the common ratio of the sequence? Write

gayaneshka [121]

An=A1 r ^(n-1)
192= 3 r ^(4-1)
192 = 3 r^3
64 = r^3
r = 4

equation:
An=3 (4)^(n-1)

6th term:
An= 3 (4)^(6-1)
An= 3072

I think this is right :)

3 0

3 years ago

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, fin

motikmotik

Step-by-step explanation:

200,000 X 50,000 = 100000000

7 0

3 years ago