what is the area of this figure?\nwrite your answer using decimals, if necessary.\nsquare millimeters

Explanation:

Step1: Calculate the area of the triangle

The formula for the area of a triangle is (A=\frac{1}{2}\times base\times height). Here, the base of the triangle is (5) mm and the height is (2) mm. So, (A_{triangle}=\frac{1}{2}\times5\times2 = 5) (mm^{2})

Step2: Calculate the area of the large rectangle

The length of the large rectangle: (10-(6 - 4)=8) mm, and the width is (7) mm. Using the formula (A = length\times width), (A_{large - rectangle}=8\times7=56) (mm^{2})

Step3: Calculate the area of the small rectangle

The length is (4) mm and the width is (2) mm. Using the formula (A = length\times width), (A_{small - rectangle}=4\times2 = 8) (mm^{2})

Step4: Sum up the areas

(A=A_{triangle}+A_{large - rectangle}+A_{small - rectangle}) (A=5 + 56+8=69) (mm^{2})

Answer:

(69)