find area of shaded portion
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Answer:
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Answer:
Step-by-step explanation:
Well this is a good question.
Now, in this, let's not find the area of the shaded region, find the area of unshaded region.
The shaded region is inside the rectangle.
So, let's find the area of rectangle 1st.
Sides are 14 cm and 10 cm. (From figure)
Area of rectangle is (l × b).
Therefore, the area of the rectangle is 140 cm^2.
There are 3 unshaded regions (triangles) in the rectangle.
The area of triangle is given by 0.5 × base × height
So, in 1st portion, the height and base are 6 cm and 8 cm.
So, area of 1st portion is 24 cm^2.
Sides of 2nd triangle are 4 and 5 cm.
So, area of 2nd portion is 10 cm^2.
Now, finally, the sides of 3rd triangle are 6 and 9 cm.
So, area of 3rd triangle is 27 cm^2.
The total area of 3 triangles is 24 + 10 + 27 = 57 cm^2.
Now,
Area of shaded region = area of rectangle - total area of 3 triangles
Therefore, area of shaded region is 140 - 57 = 83 cm^2.