Question

ALL OF YOU PLEASE HELP ME PLEASE ​

Answer 1

Answer:

ok I will help you but on which topic

Answer 2

Answer:

Length of the rectangle = 5 cm

Step-by-step explanation:

$\red{ \boxed{\rm Given}}$

The ratio of length is to its breadth of a rectangle is same as the ratio of its diagonals

Length of the two diagonals are 10 cm, 8 cm

Breadth of the rectangle = 4 cm

$\red{\boxed{\rm How \: to \: slove}}$

First we are going to find the ratio between the diagonals then we are going to apply the concept of proportion.

$\red{\boxed{\rm Solution}}$

Let the length of the rectangle be x cm

Ratio of the two diagonals = 10 : 8 = 5 : 4

Ratio of the length and breadth of the rectangle = x : 4

As the ratio of length is to its breadth of a rectangle is same as the ratio of its diagonals.

Therefore,

x : 4 :: 5 : 4

We know that if two ratios are in proportion then the product of means is equal to product of exteremes.

Here,

The means are 4, 5 and the extremes are x, 4

Therefore,

4x = 20

x = 20/4

x = 5 cm

$\red{\boxed{\rm Check}}$

Ratio of the length is to breadth of the rectangle = 5 : 4

Ratio of the two diagonals = 10 : 8 = 5 : 4

Hence,

We have got the correct answer

$\boxed{\rm The \: length \: of \: the \: rectangle \: = \: 5cm}$

$\red{\boxed{\rm Important \: concepts \: related \: to \: ratio \: and \: proportion}}$

i) If two quantities are in ratio that means their units are same

ii) If two ratios are equal, that means the ratios are in proportion.

iii) If two ratios are in proportion, i.e a : b :: c : d, then ad = bc [Product of means = Products of extremes]

iv) If two ratios a : b is equal to c : d, then (a + b)/(a - b) = (c + d)/(c - d)

This above concept know as compendo and divendo.