Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

01 Question 11 What is the area of the shaded region? 12cm 6 cm 10cm 8cm 128cm? 96cm2 X 144cm? a 112cm?

Sagot :

We can calculate the area of the shaded region as the difference between the area of the rectangle (sides 12 cm and 10 cm) and the area of the triangle in the corner.

The triangle has base of b=12-8=4 cm and height h=10-6=4 cm.

Then, we can calculate the area of the shaded area as:

[tex]\begin{gathered} A=A_r-A_t \\ A=b_r\cdot h_r-\frac{b_t\cdot h_t}{2} \\ A=12\cdot10-\frac{4\cdot4}{2} \\ A=120-\frac{16}{2} \\ A=120-8 \\ A=112\operatorname{cm}^2 \end{gathered}[/tex]

Answer: 112 cm^2