Question

Find the area of this parallelogram.
A) 20 B) 24 C) 40 D) 60

Answer 1

`\underline{\clubsuit{\bf{Given-}}}`

• Height of the Parallelogram = 4cm

i.e, H = 4cm

• Breadth of the Parallelogram = 10cm

i.e, B = 10cm

• Measure a side of the Parallelogram = 6cm.

PS - Neglecting this because it is given just to puzzle us nothing else.

`\underline{\clubsuit{\bf{To\:find-}}}`

• the area of the Parallelogram.

`\underline{\clubsuit{\bf{Concept-}}}`

— Area of Parallelogram Formula

A parallelogram's area is defined as the space enclosed by two pairs of parallel lines. Since a rectangle and a parallelogram have identical properties, the area of a parallelogram equals the area of a rectangle.

— What's the procedure to find?

To find the area of the parallelogram, we have to multiply the base (denoted by B) of the perpendicular by its height (denoted by H). We should keep in mind that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height.

— Formula

Area of Parallelogram = Breadth (B) × Height (H)

`\underline{\clubsuit{\bf{Solution-}}}`

Applying the formula and putting the values stated above,

`\rightarrow{\sf{Area=10*4}}`

`\rightarrow{\boxed{\bf{Area=40cm^2}}}`

Hence, the area of the Parallelogram is 40cm².