Question

Mrs.Larson gave her daughter lily a quilt made of blocks. Lili plans to enlarge the quilt by adding 3 blocks to its width and 4 blocks to its lenght. This will add 54 blocks to the quilt. If the quilt lily received was square. How many were on each side of the quilt?

Answer 1

The same # on each side

Answer 2

yeah

Answer 3

I know that but how do u do it

Answer 4

that is confusing

Answer 5

I drew you a picture.

Answer 6

The area of the new quilt will be (x+3)(x+4) and the area of the old quilt will be x^2.

You can create an equation since you know that the new quilt is 54 blocks more than the old quilt, so it is just a subtraction, (x+3)(x+4) - x^2 = 54

Continuing on with this, you get,

x^2 + 3x + 4x + 12 - x^2 = 54
7x = 42
x = 6

so, the original quilt was 6 x 6 and the new one 10 x 9 blocks.