Question

find the area of shaded portion of the following figure in which all corners are right angle and the dimension are given in meter​

Answer 1

The total shaded area = 50 sq. units.

Step-by-step explanation:

The length of the big rectangle is (5 + 3 + 5) = 13 units.

And, the width of the big rectangle is (4 + 2 + 4) = 10 units.

Now, the path shaded along the length of the rectangle has a length of 13 units and it is 2 units wide.

So, its area = (2 × 13) = 26 sq. units.

Again, the path shaded along the width of the rectangle has a length of 10 units and it is 3 units wide.

So, its area = (3 × 10) = 30 sq. units.

Now, there is an overlap between the above two paths of dimensions 3 units by 2 units.

Therefore, the total shaded area = (26 + 30) - (3 × 2) = 50 sq. units. (Answer)