NCERT Solutions Ganita Prakash (Part 1) Chapter 8 Connection between the Area of a Rectangle and Fraction Multiplication — In-text Questions
Book page 180 Updated on2026-09-05
Q1.
In the Fig. 8.3, what is the length and breadth of the shaded rectangle?
Answer
The big square is a unit square, so each side is 1 unit long.
The square is cut into 2 columns → each column is 1/2 unit wide
The square is cut into 4 rows → each row is 1/4 unit tall
Length = 1/2 unit, Breadth = 1/4 unit
Why it happens: reading a length off a grid means counting how many equal parts the side was cut into. Two equal parts of 1 unit make halves; four equal parts make quarters.
Q2.
What is the area of this rectangle? Do you see any relation between the area and the product of length and breadth?
Answer
Eight of these rectangles tile the unit square.
8 rectangles = 1 square unit
Area of one rectangle = 1 ÷ 8 = 1/8 square unit
Length × breadth = 1/2 × 1/4 = 1/8
They are equal — the area of a rectangle with fractional sides is the product of its sides.
Tip: this gives you a picture for every fraction multiplication. To find a⁄b × c⁄d, draw a rectangle with those sides inside a unit square and read off its area.