Question

What is the perimeter of a quadrilateral whose four sides measures 3 1/6 cm, 2 3/4 cm, 4 5/12 cm, and 2 1/2 cm​

Answer 1

Answer:

perimeter of a quadrilateral = sum of all four sides

6

31

+

4

23

+

12

45

+

2

21

=

12

62+69+45+126

=

12

302

=

6

151

25 whole 1/6

Answer 2

$\color{skyblue}{\star \large\underline{{\boxed{\sf\pink{Given:-}}}}}$

➢ Sides of quadrilateral = $\sf \ \: 3 \frac{1}{6} ,2 \frac{3}{4},4 \frac{5}{12} ,2 \frac{1}{2}$

$\color{skyblue}{\star \large\underline{{\boxed{\sf\pink{To \: Find :-}}}}}$

➢ Perimeter of quadrilateral

$\boxed {\boxed{ { \color{aqua}{ \bold{ \underline{Solution:-}}}}}}$

$\dag{ \boxed{\sf \: Perimeter = Sum \: of \: all \: sides}}$

$\twoheadrightarrow \sf \ \: 3 \frac{1}{6} ,2 \frac{3}{4},4 \frac{5}{12} ,2 \frac{1}{2}$

$\large \sf \twoheadrightarrow \: \frac{19}{6} + \frac{11}{4} + \frac{52}{3} + \frac{5}{2}$

Lcm of denominator = 12

$\large \sf \twoheadrightarrow \: \frac{19}{6} \frac{ \times 2}{ \times 2} + \frac{11}{4}\frac{ \times 2}{ \times 2} + \frac{52}{3}\frac{ \times 2}{ \times 2} + \frac{5}{2}\frac{ \times 2}{ \times 2}$

$\large\sf \mapsto \: \frac{38}{12} + \frac{33}{12} + \frac{53}{12} + \frac{30}{12}$

$\large\sf \mapsto \: \frac{38 +33 +53 + 30 }{12}$

$\large\sf \mapsto \: \frac{ \cancel{154}}{ \cancel{12} }$

$\sf \mapsto \frac{77}{6} \: cm$

$\small{\dag{ \underline{ \boxed{ \sf{ \pink{ \therefore The \: perimeter \: of \: quadrilateral = \frac{77}{5} \: cm }}}}}}$