https://drive.google.com/file/d/1XnjA5qnxP-hD3qZF3XbtDwP4kW2-c9ne/view?usp=drivesdk
Fidn the area of rectangle first.
So this is the question I suppose
Shaded area A - 48= shaded area B
Area of △GHI = 1/2 *10 * 24
= 120 cm2
Total area of figure = Area△GHI + Shaded area B
= 120 + Shaded area A - 48
= Shaded area A + 72 ...(1)
i.e. from figure,
Total area of figure = Shaded area A + Area of rectangle EFGH ...(2)
From (1) and (2) we infer that
Area of rectangle EFGH = 72 cm2
⇒ 72 = EH * HG
⇒ 72 = EH * 24
⇒ EH = 3 cm
Perimeter of EFGH = 2( 3 + 24)
= 2 x 27
= 54 cm