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Class 6 Area of Rectangles and Squares — practice questions with answers

Mensuration · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the area of a rectangle of length 6 cm and breadth 4 cm?
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Answer: A) 24 sq cm
Area of rectangle = length x breadth = 6 x 4 = 24 sq cm.
2. How many squares of side 1 cm fit inside a rectangle of length 7 cm and breadth 3 cm?
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Answer: A) 21
Each unit square has area 1 sq cm. Area of rectangle = 7 x 3 = 21 sq cm, so 21 unit squares fit.
3. A square plot has a side of 30 m. A farmer wants to fence it AND grow grass on the whole plot.
The grass must cover the entire surface inside the plot.
How many square metres of grass does he need?
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Answer: C) 900
Grass covers the area = side x side = 30 x 30 = 900 sq m. (The fencing is the perimeter and is not asked here.)
4. A square sheet of side 14 cm is cut into four equal smaller squares.
What is the area of each smaller square?
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Answer: A) 49 sq cm
Big square area = 14 x 14 = 196 sq cm. Four equal squares means each = 196 / 4 = 49 sq cm.
5. A rectangular room is 12 m long and 8 m wide.
A 1 m wide path is built all around the OUTSIDE of the room.
What is the area of just the path?
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Answer: A) 44 sq m
Outer rectangle = (12 + 2) x (8 + 2) = 14 x 10 = 140 sq m. Room area = 12 x 8 = 96 sq m. Path area = 140 - 96 = 44 sq m.
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