Question

1. a student said, \we can find the area of the shaded region by multiplying the side lengths: 28×26.\ 10×20 = 200 12×10 = 120 8×26 = 208 120+200 + 208 = 5 28 - 20 = 8

Explanation:

Step1: Divide the shaded - region into rectangles

We can divide the shaded region into three non - overlapping rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 12 and 10. Area $A_1=12\times10 = 120$.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions 20 and 10. Area $A_2=20\times10 = 200$.

Step4: Calculate the area of the third rectangle

The third rectangle has dimensions 26 and 8. Area $A_3=26\times8 = 208$.

Step5: Sum up the areas of the rectangles

The total area of the shaded region $A = A_1+A_2+A_3=120 + 200+208=528$.

Answer:

528