Question

find the area of the shaded portion . All corners are right-angle​

Answer 1

Answer:

96m²

Step-by-step explanation:

area of bigger rectangle - area of smaller rectangle

=(12×18) -{(12-4)×(18-2(1.5))}

=(12×18)-{8×(18-3)}

=(12×18)-(8×15)

=(12×18)-(12×10)

=12(18-10)

=12×8

=96m²

Answer 2

Answer:

Length of the shaded portion = 96m²

Step-by-step explanation:

From the given figure, we can see that the figure contains 2 rectangles.

In the larger rectangle,

Length(L) = 18m

Breadth(B) = 12m

Area(A) = 18*12m = 216m²

In the smaller rectangle,

Length(l) = B-4m (Since the length of the smaller rectangle is 4m shorter than the breadth of the larger rectangle)

= 12-4m = 8m

Breadth(b) = L - (2*1.5m) (Since the breadth is diminshed on either side of the length by 1.5m )

= 18-3m = 15m

Therefore,

Area of the smaller rectangle (a)= 15*8m²

= 120m²

Therefore, finally,

Length of the shaded portion = A-a = 216 - 120 m² = 96m