Building Blocks

Geometry Level 2

In the above figure, all of the individual pieces are squares.

If the yellow square has an area of 1, what is the area of the entire figure?

40 152 96 60

2 solutions

A Former Brilliant Member
May 5, 2017

The area of a rectangle is given by the formula $A = LW$ where: $W=width$ and $L=length$

From the figure, $W=5$ and $L=5+2+5=12$

Substituting, we obtain

$A=5\times12=$ $\color{#3D99F6}\large\boxed{60}$ $\boxed{\text{answer}}$

Marta Reece
May 4, 2017

Yellow: 2 squares 1 x 1 = 1, total area = 2

Blue: 2 squares 2 x 2 = 4, total area = 2 x 4 = 8

Tan: 2 squares, side = 2 + 1 + 2 = 5, area each 5 x 5 = 25, total area = 2 x 25 = 50

Total of all: 2 + 8 +50 = 60