Question

in the given figure ABCD is a rectangle and pqrs is a square find the area of shaded regions.
$please \: tell \: me$
Please tell me completely with steps.​

Answer 1

Answer: I hope it is clear

Answer 2

Part A: 95 cm²

Part B: 490 cm²

Step-by-step explanation:

Part A:

ABCD is a rectangle and EB = GE, hence, GCBE is also a rectangle and BG and CE are the diagonals of rectangle GCBE.

Area of shaded region in rectangle GCBE = (10 × 6) - (Unshaded triangle)

= 60 - 0.5 × 6 × 5

= 45 cm²

Again, ADGE is also a rectangle and area of the shaded region in ADGE = 0.5 × 8 × 10 = 40 cm².

So, the total area of the shaded region = 45 + 40 = 95 cm².

Part B: Area of Δ PTQ = 0.5 × 14 × 28 = 196 cm²

Area of Δ TSU = 0.5 × 14 × 14 = 98 cm²

Therefore, the area of the shaded region = (28 × 28) - 196 - 98 = 490 cm². (Answer)