A rectangle has 30 sq. meters and a perimeter of 34 meters what are the dimensions of the rectangle

If the area of the rectangle is 30 sq meters, that means length x width = 30.

So how do we find length and width? Well, they give us the perimeter of 34 which is length*2 + width*2. So if we find 2 factors of 30 that add up to 1/2 of 34, we'll find our length and width.

1/2 of 34 is 17

Let's look at the factors of 30 ...

1*30

2*15

3*10

5*6

We need the factors that add to 17 ... 15 + 2 = 17

So we know our rectangle has dimensions

Length 15 meters

Width 2 meters

Let's check the answer ...

a = length * width

30 = 15*2

30 = 30 check!

perimeter = 2*L + 2*W

34 = 2*15 + 2*2

34 = 30 + 4

34 = 34. Check!