Question

4 Find the base of a parallelogram of height 11 cm and area 131 cm2​

Answer 1

Given:-

• area of parallelogram = 131cm²
• height of parallelogram = 11cm

To Find:-

• base of parallelogram

Solution :-

Area of parallelogram = base × height

131cm² = base × 11cm

base = 131/11 cm

base = 11.9cm

Therefore, base of parallelogram is 11.9cm.

Related information:-

• Inshort, when height and area is given, the base of parallelogram = area/height.

• Properties of parallelogram:-

• Opposite sides are congruent.
• If one angle is right angled then all the angles are right angled.
• The diagonals of a parallelogram are not of equal length.
• Opposite angles are equal.
• The sum of all the angles of parallelogram is 360°.

Answer 2

Answer:

Given :-

• Height of Parallelogram = 11 cm
• Area of Parallelogram = 131 cm²

To Find :-

Base of Parallelogram

Solution :-

As we know that

$\huge\boxed{ \sf \: Base = \dfrac{area}{height} }$

$\sf \ratio \implies \: Base = \dfrac{131}{11}$

$\sf \ratio\implies \: Base = \dfrac{11.9}{1}$

$\frak \pink{Base = 11.9\: cm}$

Verification :-

Area = Base × Height

131 = 11 × 11.9

131 = 131

Hence, Verified