Question

The ratio of the length to the breadth of a rectangle is 7:4.If the perimeter of a rectangle is 220 me. Find the length of the rectangle. ​

Answer 1

length is 70

breadth is 40

hope it helps u

Answer 2

Answer:

The length is 70m and breadth is 40m

Step-by-step explanation:

Given :

• The Ratio = 7:4
• Perimeter of Rectangle = 220m

To find :

• The measures of the sides of the Rectangle

Solution :

Consider the sides as 7x and 4x

Perimeter of Rectangle =

$\tt{\implies 2(Lenght+Breadth)}$

$\tt{\implies2(7x+4x)=220}$

$\tt{\implies14x+8x=220}$

$\tt{\implies22x=220}$

$\tt{\implies x=\dfrac{220}{22} }$

$\tt{\implies x=10}$

$\large{\boxed{\bigstar{\sf \: {x=10m }}}}$

Value of 7x =

$\tt{\implies7\times10}$

$\tt{\implies70}$

$\large{\boxed{\bigstar{\sf \: {Length = 70m}}}}$

Value of 4x =

$\tt{\implies4\times10}$

$\tt{\implies40}$

$\large{\boxed{\bigstar{\sf \: {Breadth = 40m}}}}$

∴ The length is 70m and breadth is 40m

Verification :

$\tt{\implies 2(70+40)=220}$

$\tt{\implies140+80=220}$

$\tt{\implies 220=220}$

${\boxed{\bigstar{\sf \: { LHS=RHS}}}}$

∴ The length is 70m and breadth is 40m