Question

name: show work neatly. answer word problems in complete sentences. highlight answers. date: 1 - 84. find the perimeter and area of each figure. show your work. be sure to include the correct units in your answer. perimeter area a. 15 m 9 m 9.85 m 11 m 9 m b. 9 m 14 m 7 m 4 m

Explanation:

Step1: Calculate perimeter of figure a

Add up all side - lengths.
$P_a=9 + 11+9.85 + 15=44.85$ m

Step2: Calculate area of figure a

Split into a rectangle and a triangle. Area of rectangle $A_{r}=9\times11 = 99$ m², area of triangle $A_{t}=\frac{1}{2}\times(15 - 11)\times9=\frac{1}{2}\times4\times9 = 18$ m². Then $A_a=99 + 18=117$ m²

Step3: Calculate perimeter of figure b

Add up all side - lengths.
$P_b=9+14 + 9+4=36$ m

Step4: Calculate area of figure b

Split into two triangles. Area of first triangle $A_{t1}=\frac{1}{2}\times4\times7 = 14$ m², area of second triangle $A_{t2}=\frac{1}{2}\times4\times(9 - 7)=\frac{1}{2}\times4\times2 = 4$ m². Then $A_b=14 + 4=18$ m²

Answer:

Perimeter of figure a: $44.85$ m
Area of figure a: $117$ m²
Perimeter of figure b: $36$ m
Area of figure b: $18$ m²