9514 1404 393
Answer:
- picture: 324 square cm
- board: 1296 square cm
- board dimensions: 36 cm square
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.