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प्रश्न
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
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उत्तर
Perimeter of rectangle = Perimeter of square
2 (Length + Breadth) = 4 × Side
2 (40 + 22) = 4 × Side
2 × 62 = 4 × Side
Side = 124/4 = 31 cm
Area of rectangle = 40 × 22 = 880 cm2
Area of square = (Side)2 = 31 × 31 = 961 cm2
Therefore, the square-shaped wire encloses more area
संबंधित प्रश्न
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.
The table given below contains some measures of the square. Find the unknown values.
| Side | Perimeter | Area |
| ? | ? | 49 sq.feet |
Area of a square is doubled if the side of the square is doubled.
Rectangular wall MNOP of a kitchen is covered with square tiles of 15 cm length (see figure). Find the area of the wall.
A wire is cut into several small pieces. Each of the small pieces is bent into a square of side 2 cm. If the total area of the small squares is 28 square cm, what was the original length of the wire?
Find the area of the square whose sides are:
10 cm
If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______.
12 m2 is the area of ______.
Find the area of a square inscribed in a circle whose radius is 7 cm (see figure).
[Hint: Four right-angled triangles joined at right angles to form a square]
