# Carmel wants to mount an 18cm x 18cm swuare picture on a square board that is four times the area of the picture. a) What is the area of the picture?b) What is the area of the board?c)What are the dimensions of the board?Explain Please. Thanks in advance!

2
by meheh

2014-09-09T02:35:21+05:30
A) area of the picture =s*s=18*18 = 324cm²
b)4*324= 1296cm²
c)√1269=36cm
therefore dimension of the board = 36*36cm
2014-09-10T04:49:44+05:30

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See picture.

Area of the square picture = 18 cm * 18 cm = 324 cm²
This means that length and breadth of picture are 18 cm each and it is a square

Area of the square board = 4 times area of picture = 4 * 324 cm² = 1296 cm²

area of the board = 4 * 324 = 2 * 2 * 18 * 18 cm² = 2 * 18 * 2 * 18 = 36 * 36 cm²

as the board is a square, the area is length* length, and the breadth = length.

So length = 36 cm  and also breadth is 36 cm.