Question

find the area of a rectangular park which is 44 4/5m long and 35 5/12 widh​

Answer 1

Answer :-

• The area of the rectangular garden is 1586 2/3 m²

Given :-

• Length of the rectangular park = 44 4/5 m.
• Width of the rectangular park = 35 5/12 m.

To find :-

• The area of the rectangular park.

Step-by-step explanation :-

• Here, the length and breadth of a rectangular park have been given to us. We have to find it's area. The park is in the shape of a rectangle, so we will use the formula required for finding the area of a rectangle.

We know that :-

$\underline{\boxed{\sf Area\: of \:a \: rectangle = Length \times Width}}$

Here,

• Length = 44 4/5 m.
• Width = 35 5/12 m.

Hence,

$\rm Area = 44 \dfrac{4}{5} \times 35 \dfrac{5}{12}$

Converting the mixed fractions into improper fractions,

$\rm Area = \dfrac{224}{5} \times \dfrac{425}{12}$

Reducing the numbers,

$\rm Area = \dfrac{56}{1} \times \dfrac{85}{3}$

On multiplying the remaining numbers,

$\rm Area = \dfrac{4760}{3}$

Converting the improper fraction into mixed fraction,

$\overline{\boxed{\rm Area = 1586 \:\dfrac{2}{3} \: m^2}}$