The length of a rectangle is four times its width. the rectangle has an area of 1024cm^2 work out the width of the rectangle

Area of a rectangle is given by:

           ....[1]

where

l is the length

w is the width of the rectangle respectively.

As per the statement:

the length of a rectangle is four times its width.

⇒

It is also given that: area of rectangle is 1024 cm square

Substitute the given values in [1] we have;

⇒

Divide both sides by 4 we have;

or

Taking square root both sides we have;

cm

Therefore, the width of the rectangle is, 16 cm

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

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.