Answer:
161/2
Explanation:
First, find the area of the rectangle which is width×length
width = 7
length = 18
Therefore, area of rectangle is 7×18 = 126 cm^2
Next, find the area of triangle which is 1/2 × base × height.
We know that height is 7 cm.
Base can be found by subtracting 18 by 5 (from 3cm and 2cm).
Base = 18-2-3 = 18-5 = 13
Therefore, base is 13.
Thus:-
Area of Triangle is 1/2 × 13 × 7 = 1/2 × 91 = 91/2 cm^2
What we know now is:-
- rectangle's area = 126 cm^2
- triangle's area = 91/2 cm^2
Since triangle's area is not shaded, it means that we subtract rectangle's area with triangle's area.
Therefore:-
Area = 126 - 91/2
Multiply both numerator and denominator for 126
Area = 126•2/1•2 - 91/2
Area = 252/2 - 91/2
Area = 161/2