The diagram shows a square quilt that is made up of identical squares and two sizes of right-angled isosceles triangles. What percentage of the quilt is shaded?
(A) $36 \%$
(B) $40 \%$
(C) $44 \%$
(D) $48 \%$
(E) $50 \%$

![](https://cdn.mathpix.com/cropped/2024_04_20_ac36362783317e0251fdg-069.jpg?height=439&width=437&top_left_y=1447&top_left_x=1294)
The quilt consists of 25 identical squares.

Of the 25 squares, 4 are entirely shaded, 8 are shaded with a single triangle that covers half of the square, and 4 are shaded with two triangles that each cover a quarter of the square.

Therefore, the shading is equivalent to the area of $4+8 \times \frac{1}{2}+4 \times 2 \times \frac{1}{4}=10$ squares.

As a percentage, the shading is $\frac{10}{25} \times 100 \%=40 \%$ of the total area of the quilt.

ANSWER: (B)

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