A square array of 16 dots is formed producing a square 3 units by 3 units. If 4 of the dots are connected, as shown, they form another square. The area of the small square is _______ of the area of the lager square.

Guest Oct 19, 2017

#1**+3 **

The area of the larger square is 9 square units

Note that we also have four other triangles bordering the smaller triangle each with an area of

(1/2) * 1 * 2 = 1 square unit....so 4 of them have an area of 4 square units

So....the area of the smaller triangle is [ 9 - 4] = 5 square units

So....the area of the smaller triangle is 5/9 that of the larger triangle

CPhill
Oct 19, 2017