Question

Can you help me(explain at simplest if you can)

Answer 1

Honestly I think the easiest way to thing of this problem is by looking at a multiplication table. This method won’t work for more complex problems, but for this one I think it will be the easiest method to understand. If you want a more in detail explanation just reply to this and Ill explain how to solve it using equations.
Basically, for any method you need to know the equation for Area and for Perimeter (I will be using • to represent multiplication):
Area(A) = L•W
Perimeter(P) = L + L + W + W
You can also think of perimeter as
P = 2L + 2W
Since we know that the length of the rectangle needs to be 1 unit longer than the width, you basically need to find 2 numbers with a difference of 1 that multiply together to get 30 and that can be multiplied by 2 and added together to get 22. If you look at a multiplication chart you will see that 6 and 5 are 1 unit apart and multiply to get 30. Also, 6•2=12 and 5•2=10. If you add 12 + 10 you get 22. Therefore, your solution would be:

L = 6
W = 5

Like I said I’m happy to assist you further if you want to know how to solve it using more complex equations, which will be necessary on more advanced problems. Just let me know if you want me to! Hope this helped good luck!

Answer 2

Length: 6

Width: 5

Explanation:

Givens:

Let L=length and w=width

Area= 30 = Lw

Perimeter = 22 = L + L + w + w= 2L + 2w

L= w+1

Plug in the values into the equation for the perimeter

22= 2L+ 2w

22= 2(w+1)+ 2w

22=2w+2+2w

22=4w+2

20=4w

5=w

Plug w into the equation for L

L=w+1

L=6

We don't have to use the formula for area in this question.