Question

the ratio of the base to the height of a parallelogram is 4:3 if the area of the parallelogram is 108 cm2.find the base and height of the parallelogram​

Answer 1

Answer:

Both the side (the segment) and its length (the measurement) are called the base. If we draw any perpendicular segment from a point on the base to the opposite side of the parallelogram, that segment will always have the same length. We call that value the height

Step-by-step explanation:

hope I have helped u

Answer 2

Step-by-step explanation:

Given:-

The ratio of the base to the height of a parallelogram is 4:3 .The area of the parallelogram is 108 cm²

To find:-

find the base and height of the parallelogram.

Solution:-

The ratio of the base to the height of a Parallelogram=4:3

Let they be 4x and 3x

Base of the Parallelogram(b)=4x cm

Height of the Paralellogram (h)=3x cm

Area of a Parallelogram=bh square units

=>Area of the paralellogram=(4x)×(3x)

Area of the Parallelogram=12x² cm²

According to the given problem,

Area of the paralellogram=108 cm²

=>12x²=108

=>x²=108/12

=>x²=9

=>x=√9

=>x=±3

X can not be negative since it is length of the side

x=3 cm

now 4x=4(3)=12 cm

3x=3(3)=9 cm

Answer:-

Base of the paralellogram=12 cm

Height of the paralellogram=9 cm

Check:-

Ratio of the base to the height of the Parallelogram=12:9=4:3

and area =12×9=108 cm²

Verified the given relations

Used formula:-

• The base and height of the Parallelogram are "b" units and "h" units respectively then it's area =base×height =bh sq.units.