contestada

Cassie wants to mount an 18 cm x 18 cm square picture on a square board that is four times the area of the picture.

What is the area of the picture?

What is the area of the board?

What are the dimensions of the board?

Respuesta :

sqdancefan

9514 1404 393

Answer:

  • picture: 324 square cm
  • board: 1296 square cm
  • board dimensions: 36 cm square

Step-by-step explanation:

a) The area of the picture is the product of its dimensions:

  (18 cm)² = 324 cm²

__

b) The area of the board is 4 times that:

  board area = 4×324 cm² = 1296 cm²

__

c) The dimensions of the square board are the square root of its area:

  √1296 = √(4×324) = (√4)(√324) = 2×18 = 36 . . . . cm

The board is 36 cm square.

Otras preguntas