Question

The length and breadth of a rectangular box is in the ratio 5:4 if its perimeter is 360 cm then the dimensions are

Answer 1

Answer:

Step-by-step explanation:

Given :-

Ratio of length and breadth of rectangle = 5 : 4

Perimeter of rectangle = 360 cm

To Find :-

Dimensions.

Formula to be used :-

Perimeter of rectangle = 2(Length + Breadth)

Solution :-

Let the length be 5x and breadth be 4x.

Putting all the values, we get

⇒ Perimeter of rectangle = 2(Length + Breadth)

⇒ 360 = 2(5x + 4x)

⇒ 360 = 2 × 9x

⇒ 360 = 18x

⇒ x = 360/18

⇒ x = 20

Length = 5x = 5 × 20 = 100 cm

Breadth = 4x = 4 × 20 = 80 cm

Hence, the dimensions are 100 cm and 80 cm.

Answer 2

●$\bf \huge \underline{ANSWER}$

$\bf{ \boxed{ \underline{ \green{ \tt{100cm \: and \: 80cm \: }}}}}$

_______________________________

◑$\tt \huge \red{question}$

The length and breadth of a rectangular box is in the ratio 5:4 if its perimeter is 360 cm then the dimensions are

________________________________

$\tt {step \: by \: step \: explanation}$

◒Given:

• The length and breadth of a rectangular box in ratio are 5:4

• perimeter is 360

________________________________

$\tt \huge{To \: find}$

dimension = ?

__________________________________

Now use the formula : perimeter of rectangle:

$\bf{ \boxed{ \green{ \tt{perimeter \: of \: rectangle = 2(l + b) \: }}}}$

• l means length
• b means breadth

_________________________________

Now,

let

• length be 5x
• breadth will be 4x

Now we use the formula along with this problem

➷$\rm{360 = 2(5x + 4x)}$

➷$\rm{360 = 2 \times 9x}$

➷$\rm{x = \frac{360}{18}}$

➷$\rm{x = 20}$

______________________________

◓Now,

$\sf{length \: is \: 5x}$

$\sf{breadth \: i \: 4x}$

$\sf{x \: is \: 20}$

______________________________

◔then

◎$\sf{length = 5x = 5 \times 20}$

$\sf{ = 100cm}$

◎$\sf{breadth = 4x = 4 \times 20}$

$\sf{ = 80cm}$

◓so dimension are 100cm And 80 cm