Find two numbers such that their difference and also the difference of their cubes are given numbers; say, their difference is 6 and the difference of their cubes is 504. [Hint: Call the numbers x + 3 and x − 3.]

Step-by-step explanation:

We are to find two numbers such that their difference and also the difference of their cubes are given numbers

Let the two numbers be x+3 and x-3

so that the difference between the numbers is 6.

Difference between the cubes

=

So the numbers are either 2 and 8 or

(-2 and -8)

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk