Question

a recangular wall hanging is 40 cm long and 28 cm wide find the ratio of its
a)length to width
b)width to perimeter ​

Answer 1

Answer:

a. 10:7

b. 7:34

Step-by-step explanation:

Perimeter would be 136 cm.

Answer 2

Answer:

Given :

$\sf{Length\: of \:rectangular \:wall \:= \:40\: cm}$

$\sf{Width\:of\:the\:rectangular\:wall\:=\:28\: cm}$

To find :

$\sf{(1)\:Ratio\:of\:length\:to\:width}$

$\sf{(2)\:Ratio\:of\:Width\:to\:Perimeter}$

Concept :

To find the ratio of width to perimeter . First find the perimeter of the rectangular wall by this formula .

$\sf{\boxed{P=2(L+B)}}$

$\sf{Where,}$

$\sf{P = Perimeter \:of\: the \:rectangle }$

$\sf{L = Length}$

$\sf{B = Breadth }$

Now , find the perimeter of the rectangle -:

$\sf{\implies{P=2(40\:cm+28\:cm)}}$

$\sf{\implies{P=2×68\:cm}}$

$\sf{\implies{P=136\:cm}}$

So , the perimeter is 136 cm . Now , we can find the ratio of width to perimeter .

Solution :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1) :$

$\sf{:\implies{R=\dfrac{Length}{Width}}}$

$\sf{:\implies{R=\dfrac{40\:cm}{28\:cm}}}$

$\sf{:\implies{R=\dfrac{10}{7}}}$

$\sf{:\implies{R=10:7}}$

_______________________________

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\:\:(2) :$

$\sf{:\implies{R=\dfrac{Width}{Perimeter}}}$

$\sf{:\implies{R=\dfrac{28\:cm}{136\:cm}}}$

$\sf{:\implies{R=\dfrac{7}{34}}}$

$\sf{:\implies{R=7:34}}$

Answer :

So , the ratio of length to width or number 1. is 10 : 7 .

And the ratio of width to perimeter or number 2. is 7 : 34.