NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 43

Question. 43

Length of a rectangular field is 6 times its breadth. If length is 120 cm, find breadth and perimeter.

Answer:

Breadth = 20 cm, Perimeter = 280 cm

Detailed Answer with Explanation:

Step 1: Understand the relation
Length is 6 times the breadth. Let breadth be (B) cm and length be (L) cm.
So, (L = 6 imes B).

Step 2: Use the given length
Given (L = 120) cm.
So, (120 = 6 imes B).

Step 3: Find the breadth
Divide both sides by 6: (B = dfrac{120}{6}).
So, (B = 20) cm.

Step 4: Formula for perimeter of a rectangle
Perimeter (P = 2 imes (L + B)).

Step 5: Substitute values
(P = 2 imes (120 + 20)).
First add inside the brackets: (120 + 20 = 140).
Now multiply: (P = 2 imes 140 = 280) cm.

Answer: Breadth = 20 cm, Perimeter = 280 cm.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 6: Mensuration – Problems and Solutions | Detailed Answers