Question

Ratio of length of flower bed to its width is 4:7 and its perimeter is 330 cm then what are the dimensions of the bed and also find its area?

Answer 1

Explanation:

In this question as length and breadth are given in ratio of 4:7, so first we have to suppose length as 4x and breadth as 7x. Then by using the formula of Perimeter ie P=2(L+B) , we will find value of x.And then we will find value of length by multiplying value of x with 4 and breadth by multiplying 7 with value of x. Now Finally we can find area by using this formula: A=L×B.

Now Let's do it ☄

Question :

Ratio of length of flower bed to its width is 4:7 and its perimeter is 330 cm then what are the dimensions of the bed and also find its area?

To find:

• Length
• Breadth
• Area

Given:

• Length and breadth of flower bed are in ratio =4:7
• Perimeter =330 cm

Let:

• Length =4x
• Breadth = 7x

Answer:

We know:

$\pink{ \underline{\boxed{ \large{ \text{Perimeter =2(Length +Breadth)}}}}}$

By using this formula we can find value of x

By which we can find length and breadth.

$\tt:\!\implies Perimeter =2(Length +Breadth)$

Insert value of length , breadth and perimeter.

$\tt:\!\implies 330 =2(4x + 7x)$

$\tt:\!\implies 330 =2(11x)$

$\tt:\!\implies \frac{330}{2} =(11x)$

$\tt:\!\implies \frac{{\cancel {330}}^{ \: 165}}{{\cancel {2}}^{ \: 1}} =(11x)$

$\tt:\!\implies 165 =11x$

$\tt:\!\implies \frac{165}{11} =x$

$\tt:\!\implies x = \frac{ { \cancel{165}}^{ \: 15} }{ \cancel{11 } ^{ \: 1} }^{}$

$\large:\!\implies \dag \boxed{\tt x = 15} \dag$

Now Let's find value of length:

As we have supposed Length as 4x

.°. Length =4×15

=> Length =60 cm

As we have supposed Breadth as 7x

.°. Length =7×15

=> Breadth =105 cm

Finally now Let's find Area:

We know:

$\pink{ \underline{\boxed{ \large{ \text{Area=l×B}}}}}$

By using this formula we can find value of Area .

$\tt:\!\implies Area= Length \times Breadth$

$\tt:\!\implies Area= 60cm \times 105cm$

$\large:\!\implies \dag \boxed{\tt Area= 6300cm^2} \dag$

$\pink{ \underline{\text{And all we are done ! :D}}}$

Answer 2

Answer:

6300cm²

Step-by-step explanation:

let length and wide be 4x and 7x

then perimeter = 2×(length+breadth)

=2×(4x+7x)

=2×11x

=22x

a.t.q

22x=330

x=330/22=15

now length=60cm and wide=105cm

area=length×breadth=60×105= 6300cm²