Question

what is the area of this figure?
10 mm
2 mm
4 mm
9 mm
7 mm
6 mm
square millimeters

Explanation:

Step1: Divide the figure into two rectangles

We can split the T - shaped figure into a large rectangle and a small rectangle. The large rectangle has dimensions \(6\) mm (width) and \(9\) mm (height). The small rectangle has a width of \(10 - 6=4\) mm and a height of \(2\) mm.

Step2: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = l\times w\) (where \(l\) is length and \(w\) is width). For the large rectangle, \(l = 9\) mm and \(w = 6\) mm. So, \(A_1=9\times6 = 54\) square millimeters.

Step3: Calculate the area of the small rectangle

For the small rectangle, \(l = 2\) mm and \(w=4\) mm. Using the area formula, \(A_2 = 2\times4=8\) square millimeters.

Step4: Sum the areas of the two rectangles

To find the total area of the figure, we add the areas of the two rectangles. \(A = A_1+A_2=54 + 8=62\) square millimeters.

Answer:

\(62\)