on a centimeter squared paper make as many rectangles as you can see such that the area of the rectangle is 16 square CM consider only natural number length
1) which rectangle has the greatest perimeter
2) which rectangle has the least perimeter
If you take a rectangle of area 24 sq.cm what will be your answer given any area is it possible to predict the shape of the rectangle with the greatest perimeter with the least perimeter give examples and reason
Answers
Answer:
Things to remember...
Area of a rectangle = length × breadth
Area of the square = side × side
Question 1. Find the areas of the rectangles whose sides are :
(a) 3 cm and 4 cm
(b) 12 m and 21 m
(c) 2 km and 3 km
(d) 2 m and 70 cm
Solution.
(a) 3 cm and 4 cm
Length of the rectangle = 4 cm
Breadth of the rectangle = 3 cm
Area of the rectangle = (length × breadth))
= 4 cm × 3 cm
= 12 sq cm
(b) 12 m and 21 m
Length of the rectangle = 12 m
Breadth of the rectangle = 21 m
Area of the rectangle = length × breadth
= 12 m × 21 m
= 252 sq m
(c) 2 km and 3 km
Length of the rectangle = 3 km
Breadth of the rectangle = 2 km
Area of the rectangle = length × breadth
= 3 km × 2 km
= 6 sq km
(d) 2 m and 70 cm
Length of the rectangle = 2 m = 200 cm
Breadth of the rectangle = 70 cm
Area of the rectangle = length × breadth
= 200 cm × 70 cm
= 14000 sq cm
= 1.40 sq m...
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