Question

A rectangular field is 24m long and 15 m wide.how many triangular flower beds each of base 3m and height 4 m can be laid in this field

Answer 1

Answer:

60 triangular beds can be laid in this field.

Step-by-step explanation:

Given:-

Dimensions of the rectangular field are :

Lenght of the rectangular field = 24m

Breath of the rectangular field = 15m

As the area of the rectangle is

=> length x breath

So the area of rectangular field

=> 15 x 24 = 360m².

Now in each given triangle,

Height = 4m

Base = 3m

So-:

$= > Area \: of \: triangle = \frac{1}{2} \times base \times height \\ = > Area \: of \: triangle = \frac{1}{2} \times 3 \times 4 \\ = > Area \: of \: triangle = \frac{1}{ \cancel2} \times 3 \times \cancel4 \\ = > Area \: of \: triangle = 6 {m}^{2}$

Number of Triangular flower beds which can be laid in the rectangular field

= [Total area of the rectangular field /Area of each triangular bed]

=> 360/6

=> 60

Therefore-:

There will be 60 triangular flower beds.

Answer 2

AnswEr :

• we will calculate Area of Field First :

$\bold{Rectangular \: Field} \begin{cases} \sf{Length=24 m} \\ \sf{Breadth=15 m} \end{cases}$

⇒ Area = Length × Breadth

⇒ Area = 24 m × 15 m

⇒ Area = 360 m²

• we will calculate Ar. of Flower Bed Now :

$\bold{Triangular \: Flower\:Bed} \begin{cases} \sf{Height=3 m} \\ \sf{Base=3 m} \end{cases}$

⇒ $\sf Area = \dfrac{1}{2}\times Height \times Base$

⇒ $\sf Area =\dfrac{1}{\cancel2}\times\cancel{4}\times3$

⇒ $\sf Area = 2 \times 3$

⇒ $\sf Area = 6 m^{2}$

_________________________________

➟ Number = Ar. of Field / Ar. of Flower Bed

➟ Number = $\sf \cancel\dfrac{360\:m^{2}}{6\:m^{2}}$

➟ Number = 60

⠀

∴ 60 Flower Beds can laid in that field.