Answer:
Area of the shaded region is 130 cm².
Step-by-step explanation:
We can find the area of the shaded region of the square by subtracting area of smaller square from the bigger one.
JH = 4 cm and JC = 9 cm are the measurements.
Now we find one side of the smaller square.
Since HF²= EF² + EH²
(2×JH)² = EF² + EF² [Since HF = 2× JH and EF = EH]
(8)² = 2×EF²
EF² = 32
Now area of smaller square = EF² = 32 cm²
Similarly for bigger square
AC² = AB² + BC²
(2×JC)² = AB² + BC²
18² = 2×AB² (Since AB = BC)
AB² = 324/2 = 162
Area of Bigger square = AB² = 162 cm²
Now area of the shaded part = 162 - 32 = 130 cm²
Therefore area of the shaded area will be = 130 cm²