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Quadrilateral Math CLASS-8
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In a rectangle, if the length is 12 cm and the breadth is 8 cm, find the perimeter and area of the rectangle.
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In a quadrilateral, if one pair of opposite sides is parallel and equal in length, and all angles are right angles, what type of quadrilateral is it?
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2 Replies
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To find the perimeter and area of a rectangle with a length of 12 cm and a breadth of 8 cm, we can use the following formulas:
Perimeter of a rectangle: P = 2(length + breadth)
Area of a rectangle: A = length × breadth
Using these formulas, we can calculate the perimeter and area:
Perimeter: P = 2(12 cm + 8 cm) = 2(20 cm) = 40 cm
Area: A = 12 cm × 8 cm = 96 cm²
Therefore, the perimeter of the rectangle is 40 cm, and the area is 96 cm².
2. As for the quadrilateral with one pair of opposite sides parallel and equal in length, and all angles being right angles, this describes a special type of quadrilateral called a rectangle. A rectangle has two pairs of parallel sides and all four angles are right angles.
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- To calculate the perimeter of a rectangle, we add the lengths of all four sides. In this given question, the length is 12 cm and the breadth is 8 cm.
Perimeter of the rectangle = 2 × (Length + Breadth)
Perimeter = 2 × (12 cm + 8 cm)
Perimeter = 2 × 20 cm
Perimeter = 40 cm
So, the perimeter of the rectangle is 40 cm.
To find the area of a rectangle, we multiply the length by the breadth.
Area of the rectangle = Length × Breadth
Area = 12 cm × 8 cm
Area = 96 cm²
So, the area of the rectangle is 96 square cm.
- A quadrilateral with one pair of opposite sides parallel and equal in length, and all angles being right angles, is called a rectangle. In other words, if a quadrilateral has two pairs of opposite sides that are parallel and equal in length, it is a rectangle.