A BC What's More Find the area of the shaded region on each item. Assume that all angles that appear to be right angles are right angles. Write your answer with complete solution on your answer sheet. 6m 1. 3dm 6dm 7dm 10dm
Step-by-step explanation:
To find the area of the shaded region, we need to subtract the area of triangle ABC from the area of rectangle ADCB.
Given:
Length of rectangle ADCB = 10 dm
Width of rectangle ADCB = 6 dm
Length of triangle ABC = 6 dm
Height of triangle ABC = 3 dm
Area of rectangle ADCB = length * width = 10 dm * 6 dm = 60 square dm
Area of triangle ABC = (1/2) * base * height = (1/2) * 6 dm * 3 dm = 9 square dm
Now, subtract the area of the triangle from the area of the rectangle to find the area of the shaded region:
Area of shaded region = Area of rectangle ADCB - Area of triangle ABC
= 60 square dm - 9 square dm
= 51 square dm
So, the area of the shaded region is 51 square dm.