Question

4.2 perimeter of quadrilaterals and triangles
find the perimeter of each quadrilateral.
a. 3 yards, 8 yards
b. 3 ft, 4 ft, 5 ft, 6 ft
c. 10, 10, 17, 17, 6, 8, 15, 8

a. yards
b. feet
c. units

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width. For part a, $l = 8$ yards and $w=3$ yards.
$P_a=2(8 + 3)$

Step2: Calculate part a perimeter

$P_a=2\times11=22$ yards

Step3: Find perimeter of trapezoid for part b

The perimeter $P$ of a trapezoid is the sum of all its side - lengths. For part b, the side - lengths are $3$ ft, $4$ ft, $5$ ft and $6$ ft.
$P_b=3 + 4+5 + 6$

Step4: Calculate part b perimeter

$P_b = 18$ feet

Step5: Find perimeter of kite for part c

The perimeter $P$ of a kite is the sum of all its side - lengths. For part c, the side - lengths are $10$, $10$, $17$ and $17$.
$P_c=10 + 10+17 + 17$

Step6: Calculate part c perimeter

$P_c = 54$ units

Answer:

a. 22 yards
b. 18 feet
c. 54 units