Question

1. (9)

(the image shows a composite geometric figure with labeled lengths: 20, 6, 10, 26. the figure appears to be a t - shaped or l - shaped (rotated) polygon, likely for calculating perimeter or area.)

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions \(26\times(20)\) and the other has dimensions \(10\times6\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is given by \(A = l\times w\). For the first rectangle with length \(l = 26\) and width \(w=20\), the area \(A_1=26\times20 = 520\).

Step3: Calculate the area of the second rectangle

For the second rectangle with length \(l = 10\) and width \(w = 6\), the area \(A_2=10\times6=60\).

Step4: Sum up the areas of the two rectangles

The total area \(A=A_1 + A_2\). So \(A=520+60\).

Answer:

\(580\)