Question

What is the perimeter of quadrilateral whose four sides measure 19/6, 11/4, 53/12, 5/2 cm?

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Answer 1

Answer:

12.83

Step-by-step explanation:

Answer 2

Given :–

• Four sides of a quadrilateral = $\dfrac{19}{6}, \dfrac{11}{4}, \dfrac{53}{12}, \dfrac{5}{2}$

To Find :–

• Perimeter of a quadrilateral.

Solution :–

We know that,

Perimeter of a quadrilateral = Sum of all the four sides.

So, all the four sides of a quadrilateral are given in the question already.

So,

Perimeter of a quadrilateral = $\dfrac{19}{6} + \dfrac{11}{4} + \dfrac{53}{12} + \dfrac{5}{2}$

Now, we need to find the lowest common multiple (L.C.M.) of the denominators (6, 4, 12, 2),

★ LCM is refer to the Attachment ★

So,

L.C.M. of denominators (6,4,12,2) = 2 × 2 × 3

⟹ 4 × 3

⟹ 12

• L.C.M. of the denominators = 12

So,

⟹ $\dfrac{38 + 33 + 53 + 30}{12}$

Now, add the numerators,

⟹ $\dfrac{\cancel{154}}{\cancel{12}}$

Cut the denominator (12) and the numerator (154) by 2, we obtain

⟹ $\dfrac{77}{6}$

In Faction :–

The perimeter of a quadrilateral = $\dfrac{77}{6}$cm

In Decimal :–

The perimeter of a quadrilateral = 12.83cm