Question

The length of a rectangle with perimeter 147 cm is 43 cm. What
is the breadth of the rectangle?​

Answer 1

Answer:

6,321 is the correct answer

Answer 2

Answer:

Given:-

The length of a rectangle with perimeter 147cm is 43cm. What is the breadth of rectangle?

To Find:-

The breadth of the rectangle.

Note:-

●》Here, we will find breadth by perimeter formula and also by transposing i.e. Perimeter of rectangle = 2 × ( Length + Breadth ).

●》Transposing - For finding unknown value, know value needs to be transposed from its side to another and also signs are changed. For example - "Positve" changes to "Negative", "Multiple" changes to "Divisional".

Solution:-

$\huge\red{Length = 43cm, Perimeter = 147cm}$

$\huge\red{\ \ \ \ Breadth = ?, Let \ \ it \ \ be \ \ "x"}$

☆ According to note first point~

▪︎$Perimeter \ \ of \ \ rectangle = 2 × ( Length + Breadth )$

▪︎$147cm = 2 × ( 43cm + x )$

☆ Multiplying 2 with bracket value~

▪︎$147cm = 2 × 43cm + 2 × x$

▪︎$147cm = 86cm + 2x$

☆ According to note second point ( transposing )~

▪︎$147cm - 86cm = 2x$

▪︎$61cm = 2x$

▪︎$\dfrac{61cm}{2} = x$

☆ After dividing~

▪︎$30.5cm = x$

$\huge\pink{Breadth = x => 30.5cm}$

Checking:-

♤ Let's check for breadth that Perimeter of rectangle = 2 × ( Length + Breadth ) or not.

• $Perimeter \ \ of \ \ rectangle = 2 × ( Length + Breadth ) \implies ?$

• $147cm = 2 × ( 43cm + 30.5cm ) \implies ?$

♤ Adding the bracket value~

• $147cm = 2 × 73.5cm \implies ?$

♤ After multiplying~

• $147cm = 147cm \implies ✔$

$\huge\green{Hence, Proved : Breadth = 30.5cm}$

Answer:-

Hence, the breadth of the rectangle = 30.5cm.

:)