Write an expression for the area of the dashed region in the figure below. Use more than one method Class 8

Write an expression for the area of the dashed region in the figure below. Use more than one method Class 8

Question 1.

Write an expression for the area of the dashed region in the figure below. Use more than one method to arrive at the answer. Substitute p = 6, r = 3.5, and s = 9, and calculate the area. Class 8

Solution:

Method 1:

Required area = (p - r) × (s - r)

= (p - r)(s) - (p - r) (r)

= ps - rs - pr +r²

Method 2:

Required area = p × s - pr - (s - r) × r

= ps - pr - rs + r²