Question

trying it out #3: find the perimeter and area of the composite figure. use the shapes on the left side to help you break the composite figure into smaller polygons. resize them as needed.

Explanation:

Step1: Break into shapes

Break the composite figure into a rectangle, a smaller rectangle and a right - triangle.

Step2: Calculate area of large rectangle

The large rectangle has length 11 and width 6 (3 + 3). Area of rectangle \(A_1=11\times6 = 66\) square units.

Step3: Calculate area of small rectangle

The small rectangle has length 3 and width 3. Area of rectangle \(A_2 = 3\times3=9\) square units.

Step4: Calculate area of triangle

The triangle has base 3 and height 4. Area of triangle \(A_3=\frac{1}{2}\times3\times4 = 6\) square units.

Step5: Total area

Total area \(A = A_1+A_2 + A_3=66 + 9+6=81\) square units.

Step6: Calculate perimeter

Perimeter is the sum of all outer - side lengths. \(P=3 + 3+3+11+6 + 5+4=35\) units.

Answer:

Area: 81 sq. units
Perimeter: 35 units