Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The base and the corresponding height of a parallelogram are 14 cm and 7 cm, respectively. The area of the parallelogram (in cm┬▓) is:
98
49
21
105
98
The area of a parallelogram is calculated as the product of its base and the corresponding perpendicular height. Multiplying the given base of 14 cm by the height of 7 cm yields an area of 98 cm2.
The area of a parallelogram is calculated as the product of its base and the corresponding perpendicular height. Multiplying the given base of 14 cm by the height of 7 cm yields an area of 98 cm2.
Imagine reshaping a deck of cards by sliding the top cards sideways into a slanted shape; even though it tilts, the total surface area covered by the cards on the table stays exactly the same.
Area=b├Чh тАФ Area of a parallelogram where b is the base and h is the perpendicular height
A parallelogram can be transformed into a rectangle of the exact same base and height by cutting a triangular portion from one side and shifting it to the other. Because the base and perpendicular height remain conserved in this transformation, the area formula simplifies to Area=b├Чh.
The area formula requires the perpendicular height, not the length of the slanted side.
Area is always expressed in square units, such as cm2.
Civil engineering and land surveying for plotting irregular flat land parcels
Design and manufacturing of mechanical components with parallelogram profiles
Standard mensuration property for two-dimensional flat polygons.
Option B (49 cm2) represents half of the correct product, which is equivalent to the area of a triangle with the same base and height.
A is correct тАФ The area of the parallelogram is determined by multiplying the base (14 cm) and the height (7 cm), which equals 98 cm2.
In competitive exams, always double-check whether the height provided is perpendicular to the base or if it represents a slanted side length.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants