Question

1-84. find the perimeter and area of each figure below. a. 15 m 9.85 m 11 m b. 14 m 4 m 9 m 7 m

Explanation:

Step1: Find perimeter of figure a

Add up all side - lengths.
$P_a=15 + 9.85+11 + 9.85=45.7$ m

Step2: Find area of figure a

Split it into a rectangle and a triangle. Area of rectangle $A_{r}=11\times9 = 99$ m², base of triangle $b = 15 - 11=4$ m, height of triangle $h = 9$ m, area of triangle $A_{t}=\frac{1}{2}\times4\times9 = 18$ m². So $A_a=99 + 18=117$ m²

Step3: Find perimeter of figure b

Add up all side - lengths.
$P_b=14+7 + 9+4=34$ m

Step4: Find area of figure b

Area of triangle $A_b=\frac{1}{2}\times9\times4 = 18$ m²

Answer:

a. Perimeter: $45.7$ m, Area: $117$ m²
b. Perimeter: $34$ m, Area: $18$ m²