The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.

What are the dimensions of the original rectangle?
5 feet by 1 foot
5 feet by 6 feet
25 feet by 1 foot
180 feet by 36 feet

Please consider the attached file.

We can see from attachment that sides of original rectangle are smaller than sides of new rectangle.

The new rectangle has a length of 30 feet and width of 6 feet.

To find the the length of original rectangle, we will divide sides of new rectangle by scale factor (6).

Therefore, the dimensions of original rectangle are 5 feet by 1 foot and option A is the correct choice.

The dimensions of the original rectangle are 5 feet by 1 foot

Step-by-step explanation:

Let the x be the original length

let y be the original breadth

We are given that the enlargement of a rectangle by using a scale factor of 6.

So, Enlarged length = 6x

Enlarged breadth = 6y

We are given that A rectangle has a length of 30 feet and width of 6 feet.

Enlarged length = 6x = 30

x=5

Enlarged breadth = 6y=6

y=1

Hence the dimensions of the original rectangle are 5 feet by 1 foot

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.