Problem Solving

swerve wrote:

The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square?

A. 1/16
B. 1/6
C. 1/4
D. 1/2
E. 3/4

The OA is D.

Since all 4 sides of a square are EQUAL length, the perimeter = 4(side length)

GIVEN: the perimeter of the larger square is 1
So, 4(side length) = 1
Divide both sides by 4 to get: side length of LARGE square = 1/4

So, the ONE SMALLER square has a side length of 1/8 (since 2 small square sides = the length of the large square side)

What is the perimeter of one such smaller square?
Perimeter = 4(side length)
= (4)(1/8)
= 4/8
= 1/2

Answer: C

Cheers,
Brent

swerve wrote:

The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square?

A. 1/16
B. 1/6
C. 1/4
D. 1/2
E. 3/4

Since the perimeter of the larger square is 1, each side is 1/4. Thus, each side of each smaller square is (1/4)/2 = 1/8.

Finally the perimeter of one of the smaller squares is 4 x 1/8 = 1/2.

Answer: D