Question

find the area of the figure below. all angles that look like right angles are right angles.
figure of a composite shape with a square in the middle, two congruent triangles on the sides, labeled with 5 (side of square), 5 (height? of triangle?), 17 (total length), and a box for area calculation: area = square units

Explanation:

Step1: Identify component shapes

The figure is a square plus two congruent isosceles right triangles.

Step2: Calculate base of each triangle

First find the total length of the two triangle bases: $17 - 5 = 12$.
Each triangle base: $\frac{12}{2} = 6$

Step3: Find area of the square

Square side length = 5, so area: $5 \times 5 = 25$

Step4: Find area of one triangle

Triangle base = 6, height = 5, area: $\frac{1}{2} \times 6 \times 5 = 15$

Step5: Find total area of two triangles

$2 \times 15 = 30$

Step6: Sum all areas

Total area = square area + triangle areas: $25 + 30 = 55$

Answer:

55